Biomedical Engineering > GATE 2024 > Laplace Transform
The input x(t) and the output y(t) of a linear time invariant system are related as follows:
y(t)+(dy(t)/dt)+0.5(d^2y(t)/dt^2)=x(t)+0.1(dx(t)/dt)
What is the Laplace transform of the impulse response of the system?
A
(0.5s^2+s+1)/(0.1s+1)
B
(0.1s+1)/(0.5s^2+s+1)
C
(0.1s+s^2)/(s^2+s+0.5)
D
(s^2+s+0.5)/(0.1s^2+s)

Correct : b

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