# Inverse Differential Operator And Particular Integral

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**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 x_{1 }and x_{2 }are some function of x.

**Special Forms of X:
**