Official PYQ · 2012Set 1 · Q34Differential EquationsMCQ2 marks

GATE EC 2012 Set 1 Q34 — Differential Equations

Consider the differential equation

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

The numerical value of $\frac{dy}{dt}\big|_{t=0^+}$ is

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Answer: D

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Published 10 Oct 2026

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