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# Differential Equations CSIR NET GATE JAM M.Sc.

### Overview

In this course, you will learn about Differential Equations for CSIR NET, GATE, JAM and M.Sc. You will learn about ordinary differential equations, linear differential equations, separation of variables, order and degree, exact differential equations, integrating factor, general solution, singular solution, Existence and Uniqueness Theorem, Wronskian, partial differential equations, Lagrange’s Method, Sturm–Liouville Theory, and much more.

### Syllabus

Lec-4| Ordinary Differential Equation ODE| Linear differential Equation | CSIR NET GATE Mathematics|.
Lec-3|| ODE || Separation of Variables, Homogeneous || CSIR NET GATE Mathematics||.
Lec-2|Ordinary Differential Equation-ODE| IVP, BVP, First Order & Degree |CSIR NET GATE Mathematics|.
Lec-1| Ordinary Differential Equation (ODE)|| Order, Degree, Methods || CSIR NET GATE Mathematics||.
CSIR, NET, GATE: Important Topics and Related Questions of Differential Equation: Mathematics.
Lec-8|ODE|Linear Differential Equation with Constant Coefficient (C.F.)| CSIR NET GATE Mathematics|.
Lec-7|ODE|Linear Differential Equation with Constant Coefficient (C.F.)| CSIR NET GATE Mathematics|.
Lec-6|ODE| Linear Differential Equation with Constant Coefficient | CSIR NET GATE Mathematics|.
Lec-5 |ODE |Exact Differential Equation, integrating Factor | CSIR NET GATE Mathematics|.
Lec-9|ODE|Linear Differential Equation with Constant Coefficient (P.I.)| CSIR NET GATE Mathematics|.
Lec-11|ODE|Linear Differential Equation with Constant Coefficient Examples|CSIR NET GATE Mathematics.
Lec-12|ODE|Singular Solution of First Order ODE, General Solution|CSIR NET GATE Mathematics.
Lec-10|ODE|Linear Differential Equation with Constant Coefficient Examples|CSIR NET GATE Mathematics.
Lec-16|| ODE|Example of Singular Solution: Solved Problem ||CSIR NET GATE Mathematics.
Lec-15|ODE| Methods for finding Singular Solution ||CSIR NET GATE Mathematics.
Lec-14|| ODE|Singular Solution: Clairaut's Form ||CSIR NET GATE Mathematics.
Lec-13|ODE|Singular Solution: First Order ODE but not first degree|CSIR NET GATE Mathematics.
Lec-18||Existence & Uniqueness Theorem of first order, Unique, no solution|CSIR NET GATE Maths.
Lec-17||Existence & Uniqueness Theorem of first order, Unique, Infinite solution|CSIR NET GATE Maths.
Lec-19||ODE|Uniqueness for Homogeneous and Non-Homogeneous ODE ||CSIR NET GATE M.Sc. B.Sc. B.Tech.
Lec-20|| Wronskian, Linearly dependent and Linearly Independent ||CSIR NET GATE M.Sc. B.Sc. B.Tech.
Lec-21|| Wronskian, Linearly dependent, Independent Dec 2014 ||CSIR NET GATE M.Sc. B.Sc. B.Tech.
Lec-1|PDE|Partial Differential Equation, Introduction, Lagrange method|CSIR NET GATE M.Sc B.Sc BTech.
Lec-4|PDE|First Order PDE Multipliers Methods in Lagrange's method|CSIR NET GATE M.Sc B.Sc BTech.
Lec-3|PDE|First Order Partial DE, Example of Lagrange's method|CSIR NET GATE M.Sc B.Sc BTech.
Lec-2|PDE|First Order PDE, Working Rule of Lagrange method, Example|CSIR NET GATE M.Sc B.Sc BTech.
Lec-23|| ODE | Strum Liouville Problem & Properties ||CSIR NET GATE M.Sc. B.Sc. B.Tech.
Lec-22|| ODE | Strum Liouville Problem & Properties ||CSIR NET GATE M.Sc. B.Sc. B.Tech.
Lec-24|| ODE |Solved Example of Strum Liouville Problem ||CSIR NET GATE M.Sc. B.Sc. B.Tech.
Lec-7|PDE|Higher order linear Homogeneous PDE with constant Coefficients|CSIR GATE M.Sc B.Sc B.Tech.
Lec-6|PDE|Linear higher order Homogeneous PDE with constant Coefficients|CSIR GATE M.Sc B.Sc B.Tech.
Lec-5|PDE|First Order PDE Multipliers Methods in Lagrange's method|CSIR NET GATE M.Sc B.Sc BTech.
Lec-25|| ODE |Solved Example of Strum Liouville Problem ||CSIR NET GATE M.Sc. B.Sc. B.Tech.
Lec-8|PDE|Higher order linear Homogeneous PDE with constant Coefficients|CSIR GATE M.Sc B.Sc B.Tech.
Lec-26||ODE | Green's Function||CSIR NET GATE M.Sc. B.Sc., Study Material of CSIR UGC NET Maths.
Lec-10 |PDE| Separation of Variables, Wave Equation|CSIR GATE M.Sc B.Sc B.Tech.
Lec-11|PDE|Wave Equation|CSIR GATE M.Sc B.Sc B.Tech, Study Material of CSIR UGC NET Maths.
Lec-9|PDE| example of Homogeneous PDE with constant Coefficients, Study Material of CSIR UGC maths.
Feedback of Crash Course by Students/Excellent Educademy/CSIR/NET/GATE/IIT JAM/Ph.D: Best Platform.
Target Dec 2020. CSIR NET Mathematics, Full Course.
Free Demo Test:Best Test Series Level wise: CSIR NET Mathematics 2021 First time on Youtube-15/05/21.

### Taught by

Dr Vivek Kumar Srivastav.

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