PG-TRB-MATHS-ORDINARY DIFFERENTIAL EQUATIONS - INTRODUCTION DIFFERENTIAL EQUATION UNIT - 7 - PART -2

Описание: PG-TRB-MATHS-ORDINARY DIFFERENTIAL EQUATIONS - INTRODUCTION DIFFERENTIAL EQUATION UNIT - 7 - PART - 2

CONTACT : 9042030163

Unit VII DIFFERENTIAL EQUATIONS
Ordinary Differential Equations
Linear differential equation with constant and variable co-efficients – Linear
dependence and independence – Wronskian – Non homogeneous equations of
order two and n – Initial value problems for nth order equations – Second order
equations with ordinary point and regular singular points – Legendre Equations
– Bessel’s equation – Hermite’s equation and their properties – Existence and
Uniqueness of solutions to first order equations – Exact equation – Lipschitz
condition – Non local existence of Solution – Approximation to Uniqueness of
solutions.
Partial Differential Equations
Lagrange and Charpit methods for solving first order Partial Differential
equations – Classification of Second order partial differential equations – General
solution of higher order partial differential equation with constant co-efficients
– Method of separation of variables for Laplace, Heat and Wave equations (upto
two dimensions only).