## Description

**First Order Differential Equations :** Order and degree of a differential equation, separable differential equations, Homogeneous differential equations, equations reducible to Homogeneous differential equations, Exact differential equations. Linear differential equations and equations reducible to linear differential equations.

**Higher Order Differential Equations :** Solution of Linear homogeneous and non-homogeneous differential equations of higher order with constant coefficients and with variable coefficients, Methods of variation of parameters.

Wronskian, Differential operator method. Linear non-homogeneous differential equations with variable coefficients, Euler’s Cauchy method.

**Series Solution of Differential Equation :** Regular point, ordinary point, Power Series method, Forbinuous method, Bessel, Legendre and Bessel Equations. Legendre and Bessel functions and their properties, recurrence relations, orthogonality, Rodrigue’s formula.

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