Question

The particular integral of \(\displaystyle \frac{d^2y}{dx^2}+3\frac{dy}{dx}+2y=e^{-2x}\) is

• A. \(-xe^{-2x}\)
• B. \(xe^{-2x}\)
• C. \(-\frac{x}{2}e^{-2x}\)
• D. \(\frac{x}{2}e^{-2x}\)

Hint:

If \(F(a)=0\) while finding P.I. of \(e^{ax}\), use \(\frac{x e^{ax}}{F'(a)}\).

Answer 1

The Correct Option is A