Aerospace Engineering > GATE 2012 > Laplace Transforms
If u(t) is a unit step function, the solution of the differential equation n d2x/dt2+kx=u(t) in Laplace domain is
A
1/(s(ms2+k))
B
1/(ms2+k)
C
s/(ms2+k)
D
1/(s2(ms2+k))

Correct : a

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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:
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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:
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