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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Laplace transform EC GATE 2013 differential equation EC rectangular pulse Laplace transform second order differential equation GATE EC 2013 Laplace transform of y(t) EC EC gate 2013 second order differential equation EC

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