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

Correct Answer is : (1+2t)e−t

GATE Electronics and Communications (EC) 2015 Shift 1 Solved Paper

Question : 36 of 65

Marks: +1, -0

The solution of the differential equation

\;{d^{2}y}/{dt^{2}} + 2\;{dy}/{dt} + y = 0

with

y (0) = \:y^{′} (0) \: = \:1\:

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