Aerospace Engineering > GATE 2014 > Laplace Transforms
The Laplace transform L(u(t))=U(s), for the solution u(t) of the problem d2u/dt2+2du/dt+u=1, t>0 with initial conditions u(0)=0,du(0)/dt=5; is given by:
A
6/(s+1)2
B
s+5/(s+1)2
C
1-5s/(s(s+1)2)
D
5s2+1/(s(s+1)2)

Correct : b

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Laplace transform Aerospace Engineering GATE Aerospace Engineering 2014 differential equation Laplace transform second order differential equation initial value problem Laplace transform u(t) solution Aerospace Engineering gate Laplace transform u(t)

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