Maths for Engineers - 2

Inverse Differential Operator And Particular Integral

Inverse Differential Operator and Particular Integral:

Consider a Differential equation: f (D) y = x

                 Define 1 / f(D) such that,

         

Here f(D) is called the inverse differential operators. Hence from equation (1) , we obtain

              

Particular integral P.I =

       

Where a, b are constant and x1 and x2 are some function of x.

Special Forms of X: