Question

1/D-m f(x), where D =d/dx
and m is constant, is equal to
​

Answer 1

Answer:

1/D-m f(x), where D =d/dx

and m is constant, is equal to

Answer 2

Answer:

$\begin{aligned}&\frac{1}{D-m} f(x) \\&=e^{m x} \int f(x) e^{-m x} d x\end{aligned}$

Step-by-step explanation:

$\frac{1}{D-m} f(x)$ where $D \equiv \frac{d}{d x}$

Where $m$ is constant

$D$ is a differential operator

$D \equiv \frac{d}{d x}$

Now simplify the expression

$\frac{1}{D-m} f(x) where D \equiv \frac{d}{d x}$

$\begin{aligned}&\frac{1}{D-m} f(x) \\&=e^{m x} \int f(x) e^{-m x} d x\end{aligned}$

The above concept is used in finding a particular integral of a differential equation