Lesson 7 of 32 • 22 upvotes • 8:20mins
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.
32 lessons • 5h 58m
Course Overview (In Hindi)
4:00mins
Introduction of PDE(In Hindi)
9:34mins
Formation of PDE(In Hindi)
10:01mins
First Order PDE (in Hindi)
9:09mins
Langrange's Method:Part-1 (in Hindi)
13:06mins
Langrange's Method: Part-2 (in Hindi)
12:39mins
Cauchy IVP for quasi-linear PDE of 1st order:Part-1(Hindi)
8:20mins
Cauchy IVP for quasi linear PDE of 1st order:Part-2(Hindi)
13:40mins
Cauchy IVP for quasi linear PDE of 1st order:Part-3(Hindi)
10:02mins
Non-linear PDE of 1st order (Hindi)
9:47mins
Complete integral of standard forms of non linear PDE:Part-1(Hindi)
8:35mins
Complete integral of standard forms of non linear PDE:part-2 (Hindi)
9:07mins
Charpit's method for solving non linear PDE of 1st order(In Hindi)
10:35mins
Cauchy IVP for solving non linear PDE of 1st order(In Hindi)
14:40mins
Higher order P.D.E. with constant coefficients:Part-1(Hindi)
8:44mins
Higher order P.D.E. with constant coefficients:Part-2
11:57mins
Higher order P.D.E. with constant coefficients :Part-3(Hindi)
13:47mins
Higher order P.D.E. with constant coefficients: Part:4(Hindi)
9:49mins
Higher order P.D.E. with constant coefficients: Part:5(Hindi)
14:56mins
Higher order P.D.E. with constant coefficients: Part:6(Hindi)
11:55mins
Higher order P.D.E. with constant coefficients: Part-6 (Hindi)
8:23mins
Classification of 2nd order P.D.E. (In Hindi)
12:26mins
Example: Canonical form of "Hyperbolic" 2nd order P.D.E.(in hindi)
14:56mins
Example: canonical form of "Parabolic" type equation (in hindi)
10:44mins
Example: Canonical form of "Elliptic" type of equation
10:13mins
D'alembert solution of wave equation (in Hindi)
12:08mins
Example: D'Alembert solution of wave equation(in hindi)
11:32mins
Alternate method of D'Alembert solution of IVP for wave equation(in hindi)
13:15mins
Boundary Value Problems (in Hindi)
8:07mins
Boundary value problems for wave equation( in hindi)
15:00mins
Boundary value problem for heat equation (in Hindi)
12:50mins
Boundary value problems for laplace equation (in hindi)
13:55mins