Unlock Code - AnushaJ | Plus Educator | Assistant Professor | 5 years Teaching experience | Telegram Channel - MATHSQUARE

Anusha Jain

This course will cover almost all the topics of PDE according to CSIR NET/JRF and Gate syllabus.
    Each and every point is well explained so it can be beneficial if you unaware about the topic also.

Crack CSIR NET by studying MATHEMATICS, PHYSICS, LIFE SCIENCE, CHEMISTRY, EARTH SCIENCE on one online platform. Everything you need to crack JRF.

CSIR-UGC NET

Hindi

(Hindi) Partial Differential Equations for CSIR NET/JRF

Origin of PDE

Partial Differential Equation

Mathematical Sciences

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

Here, I have listed down names and wattages of the topics of PDE, I am going to cover in this course.

Course Overview (In Hindi)

Here, we will Introduce partial differential equations and will discuss on types of partial differential equations.

Introduction of PDE(In Hindi)

Here, we will study on two types of Formation of PDE such that:
1.  How to converted Those equations which is contained arbitrary constants into PDE?
2. How to converted those equations which is contained arbitrary functions into PDE?

Formation of PDE(In Hindi)

Here, we will study on first order partial differential equation and will discuss on standard forms of some partial differential equations.

First Order PDE (in Hindi)

Here we will study on lagrange's method which is used to find the general solution of Quasi-linear PDE.

Langrange's Method:Part-1 (in Hindi)

Here,we will study on langrange's method which is used to find out the general solutions of quasi linear equations.

This is 2nd part on this topic

Langrange's Method: Part-2 (in Hindi)

For find the solution surface of those quasi linear partial differential equation of 1st order which is passes through a intial curve, we use the cauchy intial value problem.
  So here we will study on cauchy intial value problem and learn two methods for finding the solution surface of this type of equations.

Cauchy IVP for quasi-linear PDE of 1st order:Part-1(Hindi)

Here we will solve some problems related to the cauchy intial value problem.
(here quasi linear partial differential equation contained one dependent variable and two independent variable).

Cauchy IVP for quasi linear PDE of 1st order:Part-2(Hindi)

Here, we will learn the method to finding the solution surface of those quasi linear PDE of 1st order which is contained 1 dependent variable and 'n' independent variables.

Cauchy IVP for quasi linear PDE of 1st order:Part-3(Hindi)

Here we will study on non linear partial differential equation of 1st order and will also discuss about their solution.

Non-linear PDE of 1st order (Hindi)

Here, we will study on standard form1 (when f(p,q) = 0) and standard form2 (clairouts equation) for finding the complete integral of non linear partial differential equations of 1st order, and solve some problems related to the same.

Complete integral of standard forms of non linear PDE:Part-1(Hindi)

Here, we will study on standard form3 (when given equation is f(p,q,z) = 0) and standard form4 (when given equation is f1(x,p) = f2(y,q)) for finding the complete integral of non linear partial differential equations of 1st order, and solve some problems related to the same.

Complete integral of standard forms of non linear PDE:part-2 (Hindi)

In this lesson, we will study on how to find the complete integral of non linear partial differential equation of first order with the help of charpits method (general method) and will solve some problems related to the same.

Charpit's method for solving non linear PDE of 1st order(In Hindi)

In this lesson, we will study on how to find the complete integral of non linear partial differential equation of first order with the help of couchy's IVP (general method) and will solve some problems related to the same.

Cauchy IVP for solving non linear PDE of 1st order(In Hindi)

Here, we will cover introduction of higher order partial differential equation with constant coefficient, which is classified into two types- Homogeneous and Non-homogeneous
 
Here, we will also learn the method for solution of higher order homogeneous P.D.E. with constant coefficient.

Higher order P.D.E. with constant coefficients:Part-1(Hindi)

Here, we will discuss some examples for finding the general solution of higher order homogeneous P.D.E. with constant coefficients.

Higher order P.D.E. with constant coefficients:Part-2

This lesson contains Methods of finding particular integral(solution), when F(D,D') is homogeneous.
And also contains some examples related to the same.

Higher order P.D.E. with constant coefficients :Part-3(Hindi)

Here, we will learn some more methods for finding particular integral of higher order partial differential equation with constant coefficients (when F(D,D') is homogeneous).
And solve some question related to the same.

Higher order P.D.E. with constant coefficients: Part:4(Hindi)

This lesson contains the methods of finding the general solution (complementry function of homogeneous equations) of higher order partial differential equation with constant coefficients (when F(D,D') is Non-homogeneous).

Higher order P.D.E. with constant coefficients: Part:5(Hindi)

This video contains the method of finding complementry function of higher order P.D.E. with constant coefficients (when F(D,D') is nonhomogeneous).

Higher order P.D.E. with constant coefficients: Part:6(Hindi)

This video contains the method of finding particular integral of higher order P.D.E. with constant coefficients (when F(D,D') is Non-homogeneous).

Higher order P.D.E. with constant coefficients: Part-6 (Hindi)

In this video, we will study on the classification of second order partial differential equations and will also study on the method to find the canonical form of that type of equation.

Classification of 2nd order P.D.E. (In Hindi)

Here, we will solve example to find the canonical form of "Hyperbolic" type of equations.

Example: Canonical form of "Hyperbolic" 2nd order P.D.E.(in hindi)

Here, we will solve example to find the canonical form of "Parabolic" type of equations.

Example: canonical form of "Parabolic" type equation (in hindi)

Here, we will solve example to find the canonical form of "Elliptic" type of equations.

Example: Canonical form of "Elliptic" type of equation

This video is cover the method of finding "D'Alembert Solution" of intial value problem for Wave Equation.

D'alembert solution of wave equation (in Hindi)

Here we solve some examples of D'Alembert solution of wave equation.

Example: D'Alembert solution of wave equation(in hindi)

In this video, we will study on the alternate method for finding the D'Alembert solution of Intial value problems for wave equation and solve some examples related to the same.

Alternate method of D'Alembert solution of IVP for wave equation(in hindi)

In This video, we will study on classification of "Boundary Value Problems".

Boundary Value Problems (in Hindi)

Here, we will study on method of solving the Boundary value problems for wave equation.

Boundary value problems for wave equation( in hindi)

Here, we will study on method of solving the Boundary value problems for heat equation.

Boundary value problem for heat equation (in Hindi)

Here, we will study on method of solving the Boundary value problems for laplace equation.

Boundary value problems for laplace equation (in hindi)

Type  PKMATHS pankaj13 on YouTube to get Complete live Courses Subscribe on YouTube for free . 


Pankaj Kumar

This Course contains the Concepts of Partial Differential Equations with Topic wise Questions of CSIR NET JRF .

(Hindi) Partial Differential Equations : CSIR-UGC NET

This course contains the Concept of PDE for NET/JRF, GATE, B.TECH, and M.Sc. entrance examination with B.Sc./M.Sc. Maths.

Partial Differential Equations: CSIR UGC NET

Gajendra Purohit

This Course is Useful For CSIR NET & GATE Aspirants And Contain Following Topics (i) Classification and Formation of PDE (ii) Linear PDE of Order One (Lageange's Method) (iii) Non Linear PDE (Charpit's Method )  Topics Related to this Concepts

(Hindi) Partial Differential Equation (CSIR NET/GATE)

In This Course Dr.Gajendra Will Cover last Year Questions of Partial Differential Equation With Mock Test. This Course is Beneficial For CSIR NET Aspirants.

Lessons

32 lessons • 5h 58m