Question

Particular integral of $\frac{1}{(D - 2)^{2}} e^{2x} = $

• A. $\frac{x^{2}}{2} e^{2x}$
• B. $x^{3} e^{2x}$
• C. $\frac{x^{2}}{2} e^{2x}$
• D. $\frac{x^{3}}{12} e^{2x}$

Hint:

If $(D-a)$ is repeated $n$ times, the P.I. for $e^{ax}$ is $\frac{x^n}{n!} e^{ax}$.

Answer 1

The Correct Option is C