GATE2015-1-25

Question

The solution of the differential equation $\frac{d^2y}{dt^2} + 2 \frac{dy}{dt}+y=0$ with $y(0)=y’(0)=1$ is

• A. $(2-t)e^t$
• B. $(1+2t)e^{-t}$
• C. $(2+t)e^{-t}$
• D. $(1-2t)e^t$