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GATE-2012 ECE Q34 (signals)

Question 34 on signals from GATE (Graduate Aptitude Test in Engineering) 2012 Electronics and Communication Engineering paper.

Q34. Consider the differential equation

${\frac{d^2y(t)}{dt}+2\frac{dy(t)}{dt}+y(t) = \delta(t)}$ with ${y(t)|}_{t=0^{-}}=-2$ and ${\frac{dy}{dt}\|_{t=0^{-}}=0}$

The numerical value of

${\frac{dy}{dt}|}_{t=0^{+}}$ is

(A) -2

(B) -1

(C) 0

(D) 1

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