EC > GATE 2013 SET-4 > Laplace Transform
A system is described by the differential equation
d2y/dt2 + 5dy/dt + 6y = x(t).
Let x(t) be a rectangular pulse given by
x(t) = 1, 0 < t < 2
x(t) = 0, otherwise
Assuming that y(0) = 0 and dy/dt = 0 at t = 0, the Laplace transform of y(t) is
A
e-2s/[s(s + 2)(s + 3)]
B
(1 - e-2s)/[s(s + 2)(s + 3)]
C
e-2s/[(s + 2)(s + 3)]
D
(1 - e-2s)/[(s + 2)(s + 3)]

Correct : b

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