Aerospace Engineering > GATE 2017 > Differential Equations
Consider the initial value problem:
d2y/dt2+4dy/dt+6y=f(t); y(0)=2, (dy/dt)t=0=1
If Y(s)=∫0∞y(t)e-stdt and F(s)=∫0∞f(t)e-stdt are the Laplace transforms of y(t) and f(t) respectively, then Y(s) is given by:
d2y/dt2+4dy/dt+6y=f(t); y(0)=2, (dy/dt)t=0=1
If Y(s)=∫0∞y(t)e-stdt and F(s)=∫0∞f(t)e-stdt are the Laplace transforms of y(t) and f(t) respectively, then Y(s) is given by:
Correct : b
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