1
GATE PI 1994
MCQ (Single Correct Answer)
+1
-0.3
Solve for $$y$$ if $${{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + y = 0$$ with $$y(0)=1$$ and $${y^1}\left( 0 \right) = - 2$$
A
$$\,\left( {1 - t} \right){e^{ - t}}$$
B
$$\,\left( {1 + t} \right){e^{ t}}$$
C
$$\,\left( {1 + t} \right){e^{ - t}}$$
D
$$\,\left( {1 - t} \right){e^{ t}}$$
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