Pakistani Mathematics

Pakistani Mathematics

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This page is all about Undergraduate & Postgraduate Mathematics Lectures.

20/02/2022

Lecture 17 || Reducible to Exact || Case 4 || Solution Of Ordinary Differential Equation

Download Notes:
https://drive.google.com/file/d/12_C98fnIEuQpQD0f_uinC21WJ7W8v1-H/view?usp=sharing

This lecture helps students to understand the following topic.
How to solve an ordinary differential equation of first order, first degree by reducing to exact using an integrating factor.

Differential Equations:
https://www.youtube.com/playlist?list=PLssrZb3bd5Rn-oJc5M6oZ54zJb0Z3H5fz

**Intermediate Playlist**
First Year Maths
First Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAZOEgCAOEB_6OPb7QdLRBL

XI Maths Chapter # 1 Sets:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAySlftSZmj6sC1m5jQqdhZ

XI Maths Chapter # 2 Real and Complex Number Systems:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDr9Lw1ih7V0S0Vznl__5eM

XI Maths Chapter # 3 Equations:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAKo1s23jstqILFDdlxOcR3

XI Maths Chapter # 4 Matrices and Determinants:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCcStaVUdSpErr7bvx9NTuu

XI Maths Chapter # 5 Groups:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAzRWvqw4zJYxIaqyFgpIIQ

XI Maths Chapter # 6 Sequences and Series: https://www.youtube.com/playlist?list=PLw-wixnpuEBDySLdKVR2ripwsFAONSNcA

XI Maths Chapter # 7 Permutation, Combination, and Probability: https://www.youtube.com/playlist?list=PLw-wixnpuEBCp85YRHp2-x6RXSKbYRQQJ

XI Maths Chapter # 8 Mathematical Induction & Binomial Theorem: https://www.youtube.com/playlist?list=PLw-wixnpuEBANTTjbILVCsUeQIdsJezfu

XI Maths Chapter # 9 Fundamentals of Trigonometry: https://www.youtube.com/playlist?list=PLw-wixnpuEBCeZwkegCP5Eg14tOtWI5P

XI Maths Chapter # 10 Trigonometric Identities: https://www.youtube.com/playlist?list=PLw-wixnpuEBCJ1LIaFmHGUf4gW5NCTD_E

XI Maths Chapter # 11 Graphs Of Trigonometric Functions: https://www.youtube.com/playlist?list=PLw-wixnpuEBBE893DRyJW7ix9f-6zQdb_

XI Maths Chapter # 12 Solutions of Triangles: https://www.youtube.com/playlist?list=PLw-wixnpuEBBEDz8HlhrARYtLYc-8cneu

XI Maths Chapter # 13 Inverse Trigonometric Functions and Trigonometric Equations: https://www.youtube.com/playlist?list=PLw-wixnpuEBAqowOoomgqFuSblF3Qfzid

XI Past year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDUtpItqaaxq-n73XlyQ3kF

XI Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDcv7ayUQq8xs8XDqpgrNRW

Second Year Maths
Second Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCtXSg9IAHciF3viaj55-nR

Chapter # 1 Function and Limits :
https://www.youtube.com/playlist?list=PLw-wixnpuEBBiiycWm63Wa81D5qgVABjv

Chapter # 2 The Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBAA3EdFnYS0kVYVbxxRwOk6

Chapter # 3 The General Equation of Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBCGpDfaPgv1GX9Ye2-5CM7v

Chapter # 4 Differentiation
https://m.youtube.com/playlist?list=PLw-wixnpuEBAFDZPSIbevYD3PXs1XGhZC

Chapter # 5 Application Of Differential Calculus: https://www.youtube.com/playlist?list=PLw-wixnpuEBDt1NcP-MmpqukK1EC3sZpD

Chapter # 6 Antiderivatives:
https://www.youtube.com/playlist?list=PLw-wixnpuEBA2nw6J-nuWLNj6J637Hj8C

Chapter # 7 Circle:
https://www.youtube.com/playlist?list=PLw-wixnpuEBC9WaqzvpIumUDmHFRSyVJ0

Chapter # 8 Parabola, Ellipse and Hyperbola: https://www.youtube.com/playlist?list=PLw-wixnpuEBABULOKionRhlgkwCgoO_t_

Chapter # 9 Vectors:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCj43ySRtKfSE8b79xdCMXS

XII Past Year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBADxYq_qMcXGjSvQGY3YO1L

XII Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBD26DAkilE8EU8uVq6-GLwA

Shortcut Tricks:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCWeVRkuWqBhY44gtKiVcCV

Topical videos:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAJTYsY3F8zyRFo8jMgoh1t

How to Use Calculator:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCt7AFigc1KNR0Kj0PL83tW

ECAT Preparation Course (Crash):
https://www.youtube.com/playlist?list=PLw-wixnpuEBDT7jA--ybzTW-ZzdFGek5y

NED Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCEWe6jDSIwRlCT4vWDbb8t

Visit My YouTube Channel:
Saad Latif: https://m.youtube.com/c/SaadLatif
Pakistani Mathematics: https://www.youtube.com/channel/UCsdmXM-7WPySkSXc2eJvmnQ

My Facebook :
https://www.facebook.com/saad.latif.125

My Instagram :
https://www.instagram.com/saad_latif12

19/02/2022

Lecture 16 || Reducible to Exact || Case 3 || Solution Of Ordinary Differential Equation

Download Notes:
https://drive.google.com/file/d/12Y3cTJ1X8TtaN1i7RK1me1Uv9ukUMXFQ/view?usp=sharing

This lecture helps students to understand the following topic.
How to solve an ordinary differential equation of first order, first degree by reducing to exact using an integrating factor.

Differential Equations:
https://www.youtube.com/playlist?list=PLssrZb3bd5Rn-oJc5M6oZ54zJb0Z3H5fz

**Intermediate Playlist**
First Year Maths
First Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAZOEgCAOEB_6OPb7QdLRBL

XI Maths Chapter # 1 Sets:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAySlftSZmj6sC1m5jQqdhZ

XI Maths Chapter # 2 Real and Complex Number Systems:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDr9Lw1ih7V0S0Vznl__5eM

XI Maths Chapter # 3 Equations:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAKo1s23jstqILFDdlxOcR3

XI Maths Chapter # 4 Matrices and Determinants:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCcStaVUdSpErr7bvx9NTuu

XI Maths Chapter # 5 Groups:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAzRWvqw4zJYxIaqyFgpIIQ

XI Maths Chapter # 6 Sequences and Series: https://www.youtube.com/playlist?list=PLw-wixnpuEBDySLdKVR2ripwsFAONSNcA

XI Maths Chapter # 7 Permutation, Combination, and Probability: https://www.youtube.com/playlist?list=PLw-wixnpuEBCp85YRHp2-x6RXSKbYRQQJ

XI Maths Chapter # 8 Mathematical Induction & Binomial Theorem: https://www.youtube.com/playlist?list=PLw-wixnpuEBANTTjbILVCsUeQIdsJezfu

XI Maths Chapter # 9 Fundamentals of Trigonometry: https://www.youtube.com/playlist?list=PLw-wixnpuEBCeZwkegCP5Eg14tOtWI5P

XI Maths Chapter # 10 Trigonometric Identities: https://www.youtube.com/playlist?list=PLw-wixnpuEBCJ1LIaFmHGUf4gW5NCTD_E

XI Maths Chapter # 11 Graphs Of Trigonometric Functions: https://www.youtube.com/playlist?list=PLw-wixnpuEBBE893DRyJW7ix9f-6zQdb_

XI Maths Chapter # 12 Solutions of Triangles: https://www.youtube.com/playlist?list=PLw-wixnpuEBBEDz8HlhrARYtLYc-8cneu

XI Maths Chapter # 13 Inverse Trigonometric Functions and Trigonometric Equations: https://www.youtube.com/playlist?list=PLw-wixnpuEBAqowOoomgqFuSblF3Qfzid

XI Past year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDUtpItqaaxq-n73XlyQ3kF

XI Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDcv7ayUQq8xs8XDqpgrNRW

Second Year Maths
Second Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCtXSg9IAHciF3viaj55-nR

Chapter # 1 Function and Limits :
https://www.youtube.com/playlist?list=PLw-wixnpuEBBiiycWm63Wa81D5qgVABjv

Chapter # 2 The Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBAA3EdFnYS0kVYVbxxRwOk6

Chapter # 3 The General Equation of Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBCGpDfaPgv1GX9Ye2-5CM7v

Chapter # 4 Differentiation
https://m.youtube.com/playlist?list=PLw-wixnpuEBAFDZPSIbevYD3PXs1XGhZC

Chapter # 5 Application Of Differential Calculus: https://www.youtube.com/playlist?list=PLw-wixnpuEBDt1NcP-MmpqukK1EC3sZpD

Chapter # 6 Antiderivatives:
https://www.youtube.com/playlist?list=PLw-wixnpuEBA2nw6J-nuWLNj6J637Hj8C

Chapter # 7 Circle:
https://www.youtube.com/playlist?list=PLw-wixnpuEBC9WaqzvpIumUDmHFRSyVJ0

Chapter # 8 Parabola, Ellipse and Hyperbola: https://www.youtube.com/playlist?list=PLw-wixnpuEBABULOKionRhlgkwCgoO_t_

Chapter # 9 Vectors:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCj43ySRtKfSE8b79xdCMXS

XII Past Year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBADxYq_qMcXGjSvQGY3YO1L

XII Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBD26DAkilE8EU8uVq6-GLwA

Shortcut Tricks:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCWeVRkuWqBhY44gtKiVcCV

Topical videos:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAJTYsY3F8zyRFo8jMgoh1t

How to Use Calculator:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCt7AFigc1KNR0Kj0PL83tW

ECAT Preparation Course (Crash):
https://www.youtube.com/playlist?list=PLw-wixnpuEBDT7jA--ybzTW-ZzdFGek5y

NED Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCEWe6jDSIwRlCT4vWDbb8t

Visit My YouTube Channel:
Saad Latif: https://m.youtube.com/c/SaadLatif
Pakistani Mathematics: https://www.youtube.com/channel/UCsdmXM-7WPySkSXc2eJvmnQ

My Facebook :
https://www.facebook.com/saad.latif.125

My Instagram :
https://www.instagram.com/saad_latif12

18/02/2022

Lecture 15 || Reducible to Exact || Case 2 || Solution Of Ordinary Differential Equation

Download Notes:
https://drive.google.com/file/d/12XQUp8s2ofp-Mbakg_TEPtEpyp7q9QJt/view?usp=sharing

This lecture helps students to understand the following topic.
How to solve an ordinary differential equation of first order, first degree by reducing to exact using an integrating factor.

Differential Equations:
https://www.youtube.com/playlist?list=PLssrZb3bd5Rn-oJc5M6oZ54zJb0Z3H5fz

**Intermediate Playlist**
First Year Maths
First Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAZOEgCAOEB_6OPb7QdLRBL

XI Maths Chapter # 1 Sets:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAySlftSZmj6sC1m5jQqdhZ

XI Maths Chapter # 2 Real and Complex Number Systems:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDr9Lw1ih7V0S0Vznl__5eM

XI Maths Chapter # 3 Equations:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAKo1s23jstqILFDdlxOcR3

XI Maths Chapter # 4 Matrices and Determinants:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCcStaVUdSpErr7bvx9NTuu

XI Maths Chapter # 5 Groups:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAzRWvqw4zJYxIaqyFgpIIQ

XI Maths Chapter # 6 Sequences and Series: https://www.youtube.com/playlist?list=PLw-wixnpuEBDySLdKVR2ripwsFAONSNcA

XI Maths Chapter # 7 Permutation, Combination, and Probability: https://www.youtube.com/playlist?list=PLw-wixnpuEBCp85YRHp2-x6RXSKbYRQQJ

XI Maths Chapter # 8 Mathematical Induction & Binomial Theorem: https://www.youtube.com/playlist?list=PLw-wixnpuEBANTTjbILVCsUeQIdsJezfu

XI Maths Chapter # 9 Fundamentals of Trigonometry: https://www.youtube.com/playlist?list=PLw-wixnpuEBCeZwkegCP5Eg14tOtWI5P

XI Maths Chapter # 10 Trigonometric Identities: https://www.youtube.com/playlist?list=PLw-wixnpuEBCJ1LIaFmHGUf4gW5NCTD_E

XI Maths Chapter # 11 Graphs Of Trigonometric Functions: https://www.youtube.com/playlist?list=PLw-wixnpuEBBE893DRyJW7ix9f-6zQdb_

XI Maths Chapter # 12 Solutions of Triangles: https://www.youtube.com/playlist?list=PLw-wixnpuEBBEDz8HlhrARYtLYc-8cneu

XI Maths Chapter # 13 Inverse Trigonometric Functions and Trigonometric Equations: https://www.youtube.com/playlist?list=PLw-wixnpuEBAqowOoomgqFuSblF3Qfzid

XI Past year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDUtpItqaaxq-n73XlyQ3kF

XI Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDcv7ayUQq8xs8XDqpgrNRW

Second Year Maths
Second Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCtXSg9IAHciF3viaj55-nR

Chapter # 1 Function and Limits :
https://www.youtube.com/playlist?list=PLw-wixnpuEBBiiycWm63Wa81D5qgVABjv

Chapter # 2 The Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBAA3EdFnYS0kVYVbxxRwOk6

Chapter # 3 The General Equation of Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBCGpDfaPgv1GX9Ye2-5CM7v

Chapter # 4 Differentiation
https://m.youtube.com/playlist?list=PLw-wixnpuEBAFDZPSIbevYD3PXs1XGhZC

Chapter # 5 Application Of Differential Calculus: https://www.youtube.com/playlist?list=PLw-wixnpuEBDt1NcP-MmpqukK1EC3sZpD

Chapter # 6 Antiderivatives:
https://www.youtube.com/playlist?list=PLw-wixnpuEBA2nw6J-nuWLNj6J637Hj8C

Chapter # 7 Circle:
https://www.youtube.com/playlist?list=PLw-wixnpuEBC9WaqzvpIumUDmHFRSyVJ0

Chapter # 8 Parabola, Ellipse and Hyperbola: https://www.youtube.com/playlist?list=PLw-wixnpuEBABULOKionRhlgkwCgoO_t_

Chapter # 9 Vectors:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCj43ySRtKfSE8b79xdCMXS

XII Past Year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBADxYq_qMcXGjSvQGY3YO1L

XII Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBD26DAkilE8EU8uVq6-GLwA

Shortcut Tricks:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCWeVRkuWqBhY44gtKiVcCV

Topical videos:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAJTYsY3F8zyRFo8jMgoh1t

How to Use Calculator:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCt7AFigc1KNR0Kj0PL83tW

ECAT Preparation Course (Crash):
https://www.youtube.com/playlist?list=PLw-wixnpuEBDT7jA--ybzTW-ZzdFGek5y

NED Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCEWe6jDSIwRlCT4vWDbb8t

Visit My YouTube Channel:
Saad Latif: https://m.youtube.com/c/SaadLatif
Pakistani Mathematics: https://www.youtube.com/channel/UCsdmXM-7WPySkSXc2eJvmnQ

My Facebook :
https://www.facebook.com/saad.latif.125

My Instagram :
https://www.instagram.com/saad_latif12

17/02/2022

Lecture 14 || Reducible to Exact || Case 1 || Solution Of Ordinary Differential Equation

Download Notes:
https://drive.google.com/file/d/12XA119SFSVGShgjomPfO718f5HaquXEU/view?usp=sharing

This lecture helps students to understand the following topic.
How to solve an ordinary differential equation of first order, first degree by reducing to exact using an integrating factor.

Differential Equations:
https://www.youtube.com/playlist?list=PLssrZb3bd5Rn-oJc5M6oZ54zJb0Z3H5fz

**Intermediate Playlist**
First Year Maths
First Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAZOEgCAOEB_6OPb7QdLRBL

XI Maths Chapter # 1 Sets:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAySlftSZmj6sC1m5jQqdhZ

XI Maths Chapter # 2 Real and Complex Number Systems:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDr9Lw1ih7V0S0Vznl__5eM

XI Maths Chapter # 3 Equations:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAKo1s23jstqILFDdlxOcR3

XI Maths Chapter # 4 Matrices and Determinants:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCcStaVUdSpErr7bvx9NTuu

XI Maths Chapter # 5 Groups:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAzRWvqw4zJYxIaqyFgpIIQ

XI Maths Chapter # 6 Sequences and Series: https://www.youtube.com/playlist?list=PLw-wixnpuEBDySLdKVR2ripwsFAONSNcA

XI Maths Chapter # 7 Permutation, Combination, and Probability: https://www.youtube.com/playlist?list=PLw-wixnpuEBCp85YRHp2-x6RXSKbYRQQJ

XI Maths Chapter # 8 Mathematical Induction & Binomial Theorem: https://www.youtube.com/playlist?list=PLw-wixnpuEBANTTjbILVCsUeQIdsJezfu

XI Maths Chapter # 9 Fundamentals of Trigonometry: https://www.youtube.com/playlist?list=PLw-wixnpuEBCeZwkegCP5Eg14tOtWI5P

XI Maths Chapter # 10 Trigonometric Identities: https://www.youtube.com/playlist?list=PLw-wixnpuEBCJ1LIaFmHGUf4gW5NCTD_E

XI Maths Chapter # 11 Graphs Of Trigonometric Functions: https://www.youtube.com/playlist?list=PLw-wixnpuEBBE893DRyJW7ix9f-6zQdb_

XI Maths Chapter # 12 Solutions of Triangles: https://www.youtube.com/playlist?list=PLw-wixnpuEBBEDz8HlhrARYtLYc-8cneu

XI Maths Chapter # 13 Inverse Trigonometric Functions and Trigonometric Equations: https://www.youtube.com/playlist?list=PLw-wixnpuEBAqowOoomgqFuSblF3Qfzid

XI Past year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDUtpItqaaxq-n73XlyQ3kF

XI Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDcv7ayUQq8xs8XDqpgrNRW

Second Year Maths
Second Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCtXSg9IAHciF3viaj55-nR

Chapter # 1 Function and Limits :
https://www.youtube.com/playlist?list=PLw-wixnpuEBBiiycWm63Wa81D5qgVABjv

Chapter # 2 The Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBAA3EdFnYS0kVYVbxxRwOk6

Chapter # 3 The General Equation of Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBCGpDfaPgv1GX9Ye2-5CM7v

Chapter # 4 Differentiation
https://m.youtube.com/playlist?list=PLw-wixnpuEBAFDZPSIbevYD3PXs1XGhZC

Chapter # 5 Application Of Differential Calculus: https://www.youtube.com/playlist?list=PLw-wixnpuEBDt1NcP-MmpqukK1EC3sZpD

Chapter # 6 Antiderivatives:
https://www.youtube.com/playlist?list=PLw-wixnpuEBA2nw6J-nuWLNj6J637Hj8C

Chapter # 7 Circle:
https://www.youtube.com/playlist?list=PLw-wixnpuEBC9WaqzvpIumUDmHFRSyVJ0

Chapter # 8 Parabola, Ellipse and Hyperbola: https://www.youtube.com/playlist?list=PLw-wixnpuEBABULOKionRhlgkwCgoO_t_

Chapter # 9 Vectors:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCj43ySRtKfSE8b79xdCMXS

XII Past Year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBADxYq_qMcXGjSvQGY3YO1L

XII Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBD26DAkilE8EU8uVq6-GLwA

Shortcut Tricks:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCWeVRkuWqBhY44gtKiVcCV

Topical videos:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAJTYsY3F8zyRFo8jMgoh1t

How to Use Calculator:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCt7AFigc1KNR0Kj0PL83tW

ECAT Preparation Course (Crash):
https://www.youtube.com/playlist?list=PLw-wixnpuEBDT7jA--ybzTW-ZzdFGek5y

NED Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCEWe6jDSIwRlCT4vWDbb8t

Visit My YouTube Channel:
Saad Latif: https://m.youtube.com/c/SaadLatif
Pakistani Mathematics: https://www.youtube.com/channel/UCsdmXM-7WPySkSXc2eJvmnQ

My Facebook :
https://www.facebook.com/saad.latif.125

My Instagram :
https://www.instagram.com/saad_latif12

16/02/2022

Lecture 13 || Exact Differential Equation || Solution Of Ordinary Differential Equation

Download Notes:
https://drive.google.com/file/d/12VYYKY3CdbMpmCS2Y2WTZaHFGK0X4u3L/view?usp=sharing

This lecture helps students to understand the following topic:
1) Pfaffian differential equation
2) How to solve the exact ordinary differential equation of first order, first degree.

Differential Equations:
https://www.youtube.com/playlist?list=PLssrZb3bd5Rn-oJc5M6oZ54zJb0Z3H5fz

**Intermediate Playlist**
First Year Maths
First Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAZOEgCAOEB_6OPb7QdLRBL

XI Maths Chapter # 1 Sets:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAySlftSZmj6sC1m5jQqdhZ

XI Maths Chapter # 2 Real and Complex Number Systems:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDr9Lw1ih7V0S0Vznl__5eM

XI Maths Chapter # 3 Equations:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAKo1s23jstqILFDdlxOcR3

XI Maths Chapter # 4 Matrices and Determinants:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCcStaVUdSpErr7bvx9NTuu

XI Maths Chapter # 5 Groups:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAzRWvqw4zJYxIaqyFgpIIQ

XI Maths Chapter # 6 Sequences and Series: https://www.youtube.com/playlist?list=PLw-wixnpuEBDySLdKVR2ripwsFAONSNcA

XI Maths Chapter # 7 Permutation, Combination, and Probability: https://www.youtube.com/playlist?list=PLw-wixnpuEBCp85YRHp2-x6RXSKbYRQQJ

XI Maths Chapter # 8 Mathematical Induction & Binomial Theorem: https://www.youtube.com/playlist?list=PLw-wixnpuEBANTTjbILVCsUeQIdsJezfu

XI Maths Chapter # 9 Fundamentals of Trigonometry: https://www.youtube.com/playlist?list=PLw-wixnpuEBCeZwkegCP5Eg14tOtWI5P

XI Maths Chapter # 10 Trigonometric Identities: https://www.youtube.com/playlist?list=PLw-wixnpuEBCJ1LIaFmHGUf4gW5NCTD_E

XI Maths Chapter # 11 Graphs Of Trigonometric Functions: https://www.youtube.com/playlist?list=PLw-wixnpuEBBE893DRyJW7ix9f-6zQdb_

XI Maths Chapter # 12 Solutions of Triangles: https://www.youtube.com/playlist?list=PLw-wixnpuEBBEDz8HlhrARYtLYc-8cneu

XI Maths Chapter # 13 Inverse Trigonometric Functions and Trigonometric Equations: https://www.youtube.com/playlist?list=PLw-wixnpuEBAqowOoomgqFuSblF3Qfzid

XI Past year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDUtpItqaaxq-n73XlyQ3kF

XI Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDcv7ayUQq8xs8XDqpgrNRW

Second Year Maths
Second Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCtXSg9IAHciF3viaj55-nR

Chapter # 1 Function and Limits :
https://www.youtube.com/playlist?list=PLw-wixnpuEBBiiycWm63Wa81D5qgVABjv

Chapter # 2 The Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBAA3EdFnYS0kVYVbxxRwOk6

Chapter # 3 The General Equation of Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBCGpDfaPgv1GX9Ye2-5CM7v

Chapter # 4 Differentiation
https://m.youtube.com/playlist?list=PLw-wixnpuEBAFDZPSIbevYD3PXs1XGhZC

Chapter # 5 Application Of Differential Calculus: https://www.youtube.com/playlist?list=PLw-wixnpuEBDt1NcP-MmpqukK1EC3sZpD

Chapter # 6 Antiderivatives:
https://www.youtube.com/playlist?list=PLw-wixnpuEBA2nw6J-nuWLNj6J637Hj8C

Chapter # 7 Circle:
https://www.youtube.com/playlist?list=PLw-wixnpuEBC9WaqzvpIumUDmHFRSyVJ0

Chapter # 8 Parabola, Ellipse and Hyperbola: https://www.youtube.com/playlist?list=PLw-wixnpuEBABULOKionRhlgkwCgoO_t_

Chapter # 9 Vectors:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCj43ySRtKfSE8b79xdCMXS

XII Past Year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBADxYq_qMcXGjSvQGY3YO1L

XII Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBD26DAkilE8EU8uVq6-GLwA

Shortcut Tricks:
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Topical videos:
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How to Use Calculator:
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ECAT Preparation Course (Crash):
https://www.youtube.com/playlist?list=PLw-wixnpuEBDT7jA--ybzTW-ZzdFGek5y

NED Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCEWe6jDSIwRlCT4vWDbb8t

Visit My YouTube Channel:
Saad Latif: https://m.youtube.com/c/SaadLatif
Pakistani Mathematics: https://www.youtube.com/channel/UCsdmXM-7WPySkSXc2eJvmnQ

My Facebook :
https://www.facebook.com/saad.latif.125

My Instagram :
https://www.instagram.com/saad_latif12

11/02/2022

Lecture 12 || Bernoulli's Differential Equation || Solution Of Ordinary Differential Equation

Download Notes:
https://drive.google.com/file/d/117b4Q_g8jyf0voCR7R-Jh3voUkg9gahQ/view?usp=sharing

This lecture helps students to understand the following topic:
How to solve an ordinary differential equation of first order, first degree by reducing it to linear.

Differential Equations:
https://www.youtube.com/playlist?list=PLssrZb3bd5Rn-oJc5M6oZ54zJb0Z3H5fz

**Intermediate Playlist**
First Year Maths
First Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAZOEgCAOEB_6OPb7QdLRBL

XI Maths Chapter # 1 Sets:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAySlftSZmj6sC1m5jQqdhZ

XI Maths Chapter # 2 Real and Complex Number Systems:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDr9Lw1ih7V0S0Vznl__5eM

XI Maths Chapter # 3 Equations:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAKo1s23jstqILFDdlxOcR3

XI Maths Chapter # 4 Matrices and Determinants:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCcStaVUdSpErr7bvx9NTuu

XI Maths Chapter # 5 Groups:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAzRWvqw4zJYxIaqyFgpIIQ

XI Maths Chapter # 6 Sequences and Series: https://www.youtube.com/playlist?list=PLw-wixnpuEBDySLdKVR2ripwsFAONSNcA

XI Maths Chapter # 7 Permutation, Combination, and Probability: https://www.youtube.com/playlist?list=PLw-wixnpuEBCp85YRHp2-x6RXSKbYRQQJ

XI Maths Chapter # 8 Mathematical Induction & Binomial Theorem: https://www.youtube.com/playlist?list=PLw-wixnpuEBANTTjbILVCsUeQIdsJezfu

XI Maths Chapter # 9 Fundamentals of Trigonometry: https://www.youtube.com/playlist?list=PLw-wixnpuEBCeZwkegCP5Eg14tOtWI5P

XI Maths Chapter # 10 Trigonometric Identities: https://www.youtube.com/playlist?list=PLw-wixnpuEBCJ1LIaFmHGUf4gW5NCTD_E

XI Maths Chapter # 11 Graphs Of Trigonometric Functions: https://www.youtube.com/playlist?list=PLw-wixnpuEBBE893DRyJW7ix9f-6zQdb_

XI Maths Chapter # 12 Solutions of Triangles: https://www.youtube.com/playlist?list=PLw-wixnpuEBBEDz8HlhrARYtLYc-8cneu

XI Maths Chapter # 13 Inverse Trigonometric Functions and Trigonometric Equations: https://www.youtube.com/playlist?list=PLw-wixnpuEBAqowOoomgqFuSblF3Qfzid

XI Past year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDUtpItqaaxq-n73XlyQ3kF

XI Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDcv7ayUQq8xs8XDqpgrNRW

Second Year Maths
Second Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCtXSg9IAHciF3viaj55-nR

Chapter # 1 Function and Limits :
https://www.youtube.com/playlist?list=PLw-wixnpuEBBiiycWm63Wa81D5qgVABjv

Chapter # 2 The Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBAA3EdFnYS0kVYVbxxRwOk6

Chapter # 3 The General Equation of Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBCGpDfaPgv1GX9Ye2-5CM7v

Chapter # 4 Differentiation
https://m.youtube.com/playlist?list=PLw-wixnpuEBAFDZPSIbevYD3PXs1XGhZC

Chapter # 5 Application Of Differential Calculus: https://www.youtube.com/playlist?list=PLw-wixnpuEBDt1NcP-MmpqukK1EC3sZpD

Chapter # 6 Antiderivatives:
https://www.youtube.com/playlist?list=PLw-wixnpuEBA2nw6J-nuWLNj6J637Hj8C

Chapter # 7 Circle:
https://www.youtube.com/playlist?list=PLw-wixnpuEBC9WaqzvpIumUDmHFRSyVJ0

Chapter # 8 Parabola, Ellipse and Hyperbola: https://www.youtube.com/playlist?list=PLw-wixnpuEBABULOKionRhlgkwCgoO_t_

Chapter # 9 Vectors:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCj43ySRtKfSE8b79xdCMXS

XII Past Year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBADxYq_qMcXGjSvQGY3YO1L

XII Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBD26DAkilE8EU8uVq6-GLwA

Shortcut Tricks:
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Topical videos:
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How to Use Calculator:
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ECAT Preparation Course (Crash):
https://www.youtube.com/playlist?list=PLw-wixnpuEBDT7jA--ybzTW-ZzdFGek5y

NED Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCEWe6jDSIwRlCT4vWDbb8t

Visit My YouTube Channel:
Saad Latif: https://m.youtube.com/c/SaadLatif
Pakistani Mathematics: https://www.youtube.com/channel/UCsdmXM-7WPySkSXc2eJvmnQ

My Facebook :
https://www.facebook.com/saad.latif.125

My Instagram :
https://www.instagram.com/saad_latif12

09/02/2022

Lecture 11 || Reducible to Linear || Solution Of Ordinary Differential Equation

Download Notes:
https://drive.google.com/file/d/117UUxVyYAT9jPRW-uMhJqFn905qEd_nT/view?usp=sharing

This lecture helps students to understand the following topic:
How to solve an ordinary differential equation of first order, first degree by reducing it to linear.

Differential Equations:
https://www.youtube.com/playlist?list=PLssrZb3bd5Rn-oJc5M6oZ54zJb0Z3H5fz

**Intermediate Playlist**
First Year Maths
First Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAZOEgCAOEB_6OPb7QdLRBL

XI Maths Chapter # 1 Sets:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAySlftSZmj6sC1m5jQqdhZ

XI Maths Chapter # 2 Real and Complex Number Systems:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDr9Lw1ih7V0S0Vznl__5eM

XI Maths Chapter # 3 Equations:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAKo1s23jstqILFDdlxOcR3

XI Maths Chapter # 4 Matrices and Determinants:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCcStaVUdSpErr7bvx9NTuu

XI Maths Chapter # 5 Groups:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAzRWvqw4zJYxIaqyFgpIIQ

XI Maths Chapter # 6 Sequences and Series: https://www.youtube.com/playlist?list=PLw-wixnpuEBDySLdKVR2ripwsFAONSNcA

XI Maths Chapter # 7 Permutation, Combination, and Probability: https://www.youtube.com/playlist?list=PLw-wixnpuEBCp85YRHp2-x6RXSKbYRQQJ

XI Maths Chapter # 8 Mathematical Induction & Binomial Theorem: https://www.youtube.com/playlist?list=PLw-wixnpuEBANTTjbILVCsUeQIdsJezfu

XI Maths Chapter # 9 Fundamentals of Trigonometry: https://www.youtube.com/playlist?list=PLw-wixnpuEBCeZwkegCP5Eg14tOtWI5P

XI Maths Chapter # 10 Trigonometric Identities: https://www.youtube.com/playlist?list=PLw-wixnpuEBCJ1LIaFmHGUf4gW5NCTD_E

XI Maths Chapter # 11 Graphs Of Trigonometric Functions: https://www.youtube.com/playlist?list=PLw-wixnpuEBBE893DRyJW7ix9f-6zQdb_

XI Maths Chapter # 12 Solutions of Triangles: https://www.youtube.com/playlist?list=PLw-wixnpuEBBEDz8HlhrARYtLYc-8cneu

XI Maths Chapter # 13 Inverse Trigonometric Functions and Trigonometric Equations: https://www.youtube.com/playlist?list=PLw-wixnpuEBAqowOoomgqFuSblF3Qfzid

XI Past year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDUtpItqaaxq-n73XlyQ3kF

XI Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBDcv7ayUQq8xs8XDqpgrNRW

Second Year Maths
Second Year Maths Complete:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCtXSg9IAHciF3viaj55-nR

Chapter # 1 Function and Limits :
https://www.youtube.com/playlist?list=PLw-wixnpuEBBiiycWm63Wa81D5qgVABjv

Chapter # 2 The Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBAA3EdFnYS0kVYVbxxRwOk6

Chapter # 3 The General Equation of Straight Line :
https://www.youtube.com/playlist?list=PLw-wixnpuEBCGpDfaPgv1GX9Ye2-5CM7v

Chapter # 4 Differentiation
https://m.youtube.com/playlist?list=PLw-wixnpuEBAFDZPSIbevYD3PXs1XGhZC

Chapter # 5 Application Of Differential Calculus: https://www.youtube.com/playlist?list=PLw-wixnpuEBDt1NcP-MmpqukK1EC3sZpD

Chapter # 6 Antiderivatives:
https://www.youtube.com/playlist?list=PLw-wixnpuEBA2nw6J-nuWLNj6J637Hj8C

Chapter # 7 Circle:
https://www.youtube.com/playlist?list=PLw-wixnpuEBC9WaqzvpIumUDmHFRSyVJ0

Chapter # 8 Parabola, Ellipse and Hyperbola: https://www.youtube.com/playlist?list=PLw-wixnpuEBABULOKionRhlgkwCgoO_t_

Chapter # 9 Vectors:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCj43ySRtKfSE8b79xdCMXS

XII Past Year MCQs:
https://www.youtube.com/playlist?list=PLw-wixnpuEBADxYq_qMcXGjSvQGY3YO1L

XII Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBD26DAkilE8EU8uVq6-GLwA

Shortcut Tricks:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCWeVRkuWqBhY44gtKiVcCV

Topical videos:
https://www.youtube.com/playlist?list=PLw-wixnpuEBAJTYsY3F8zyRFo8jMgoh1t

How to Use Calculator:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCt7AFigc1KNR0Kj0PL83tW

ECAT Preparation Course (Crash):
https://www.youtube.com/playlist?list=PLw-wixnpuEBDT7jA--ybzTW-ZzdFGek5y

NED Past Papers:
https://www.youtube.com/playlist?list=PLw-wixnpuEBCEWe6jDSIwRlCT4vWDbb8t

Visit My YouTube Channel:
Saad Latif: https://m.youtube.com/c/SaadLatif
Pakistani Mathematics: https://www.youtube.com/channel/UCsdmXM-7WPySkSXc2eJvmnQ

My Facebook :
https://www.facebook.com/saad.latif.125

My Instagram :
https://www.instagram.com/saad_latif12

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