GATE ECE 2014 Set 4 | Question: 4

Question

If $a$ and $b$ are constants, the most general solution of the differential equation $$\frac{d^2x}{dt^2}+2 \frac{dx}{dt}+x=0$$ is

• A. $ae^{-t}$
• B. $ae^{-t} + bte^{-t}$
• C. $ae^t+bte^{-t}$
• D. $ae^{-2t}$