22

Applications of Laplace Transform

Laplace transform is utilized as a tool for solving linear differential equations, integral equations, and partial differential equations. It is also used to evaluate the integrals. The aim of this chapter is to discuss these applications.

22.1 ORDINARY DIFFERENTIAL EQUATIONS

Recall that a differential equation is an equation where the unknown is in the form of a derivative. The order of an ordinary differential equation is the highest derivative attained by the unknown. Thus the equation

 

image

 

is of second order, whereas the equation.

 

 

is a first order differential equation.

Theorem 20.8, opens up the possibility ...

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