Engineering Mathematics

11

Ordinary Second and Higher Order Differential Equations

11.0 INTRODUCTION

An important class of differential equations is the class of linear differential equation of the second and higher order with constant coefficients. Such differential equations arise in modelling physical and engineering problems such as the theory of electric circuits, mechanical vibrations, biological problems etc. The techniques used for second order linear differential equations can also be extended to higher order linear differential equations with constant coefficients.

Some standard form of linear differential equations with variable coefficients can be reduced to linear differential equations with constant coefficients and hence solved by using the methods ...