## Description

**Partial Differential Equations :** Partial differential equation of first order, Lagrange’s solution, Integral surfaces passing through a given curve, surfaces orthogonal to a given system of surfaces, Partial differential equation of first order but of any degree, Charpit’s general method of solution.

**Partial Differential Equations of Second and Higher Order :** Partial differential equations of the second order and their classification into hyperbolic, elliptic and parabolic types, canonical forms.Homogeneous and non-homogeneous partial differential equations with constant coefficients. One dimension Wave and Heat Equation. Two dimensional Laplace equation by separation of variable and D’Alembert’s solution of wave equation.