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Introduction to PDE

Applications to higher order of LDE - part 2

Cauchy's Linear Differential Equations

Method of Variation of Parameters (MVP)

Some more problem on LDE with constant coefficients

Solving Higher order Non-homogeneous Differential Equations

Finding the Particular Integral: Sin(ax+b) or Cos(ax+b) or x^m or Polynomial form

Finding the Particular Integral: e^ax form

Finding the Complementary Function of Homogeneous Differential Equations

Introduction to Differential equation of Higher order

Applications to Higher Order LDE

Legendre's Differential Equations

Rodrigue's formula

Series solution of Legendre's Equation - Legendre's Polynomials

Series Representation & Orthogonality of Bessel Functions

Power series - Solution of Bessel's Differential Equation

D'Alembert's Ratio test

Cauchy's Root test

Introduction to sequences and series

Gauss Divergence theorem

Stoke's theorem

Green's theorem

Line integral of a vector field

Solenoidal and Irrotational vector fields