Ordinary and Partial Differential Equations and Applications WWDEQHYDA5

URI	`m2://res/WWDEQHYDA5`
Kind	course
Creators	D. N Pandey (instructor), P.N. Agrawal (instructor)
Date	2018-06-21
Scope	in
Ids	course 00582g326:111107111

Expressions

e1: edition

Language	en
Date	2018-06-21

m1: page, IIT Roorkee (record). nptel 111107111
m2: page, 2018-06-21 (record). nptel 111107111

Contents

part 1: Unit-1
session 1: Introduction to differential equations-I
session 2: Introduction to differential equations-II
session 3: Existence and uniqueness of solutions of differential equations-I
session 4: Existence and uniqueness of solutions of differential equations-II
session 5: Existence and uniqueness of solutions of differential equations-III
part 2: Unit-2
session 6: Existence and uniqueness of solutions of a system of differential equations
session 7: Linear System
session 8: Properties of Homogeneous Systems
session 9: Solution of Homogeneous Linear System with Constant Coefficients-I
session 10: Solution of Homogeneous Linear System with Constant Coefficients-II
part 3: Unit-3
session 11: Solution of Homogeneous Linear System with Constant Coefficients-III
session 12: Solution of Non-Homogeneous Linear System with Constant Coefficients
session 13: Power Series
session 14: Uniform Convergence of Power Series
session 15: Power Series Solution of Second Order Homogeneous Equations
part 4: Unit-4
session 16: Regular singular points-I
session 17: Regular singular points-II
session 18: Regular singular points-III
session 19: Regular singular points-IV
session 20: Regular singular points-V
part 5: Unit-5
session 21: Critical points
session 22: Stability of Linear Systems-I
session 23: Stability of Linear Systems-II
session 24: Stability of Linear Systems-III
session 25: Critical Points and Paths of Non-linear Systems
part 6: Unit-6
session 26: Boundary value problems for second order differential equations
session 27: Self - adjoint Forms
session 28: Sturm -Liouville problem and its properties
session 29: Sturm -Liouville problem and its applications
session 30: Green's function and its applications-I
part 7: Unit-7
session 31: Green's function and its applications-II
session 32: Origins and Classification of First Order PDE
session 33: Initial Value Problem for Quasi-linear First Order Equations
session 34: Existence and Uniqueness of Solutions
session 35: Surfaces orthogonal to a given system of surfaces
part 8: Unit-8
session 36: Nonlinear PDE of first order
session 37: Cauchy method of characteristics-I
session 38: Cauchy method of characteristics-II
session 39: Compatible systems of first order equations
session 40: Charpit's method-I
part 9: Unit-9
session 41: Charpit's method-II
session 42: Second Order PDE with Variable Coefficients
session 43: Classification and Canonical Form of Second Order PDE-I
session 44: Classification and Canonical Form of Second Order PDE-II
session 45: Classification and Characteristic Curves of Second Order PDEs
part 10: Unit-10
session 46: Review of Integral Transforms-I
session 47: Review of Integral Transforms-II
session 48: Review of Integral Transforms-III
session 49: Laplace Equation-I
session 50: Laplace Equation-II
part 11: Unit-11
session 51: Laplace Equation-III
session 52: Laplace and Poisson Equations
session 53: One dimensional wave equation and its solution-I
session 54: One dimensional wave equation and its solution-II
session 55: One dimensional wave equation and its solution-III
part 12: Unit-12
session 56: Two dimensional wave equation and its solution-I
session 57: Solution of non-homogeneous wave equation
session 58: Solution of homogeneous diffusion equation-I
session 59: Solution of homogeneous diffusion equation-II
session 60: Duhamel's principle

Catalogue records

nptel: 111107111 (manifestation)
nptel_video: 111107111 (manifestation)