EC > GATE 2013 SET-1 > Laplace Transform
A system is described by the differential equation
d2y/dt2 + 5(dy/dt) + 6y(t) = x(t).
Let x(t) be a rectangular pulse given by x(t) = 1 for 0 < t < 2 and 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(s+2)(s+3))
D
(1−e−2s)/(s+2)(s+3)

Correct : b

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