Question:
The input x(t) and the output y(t) of a linear time invariant system are related as follows :
\(y(t)+\frac{dy(t)}{dt}+0.5\frac{d^2y(t)}{dt^2}=x(t)+0.1\frac{dx(t)}{dt}\)
What is the Laplace transform of the impulse response of the system ?
The input x(t) and the output y(t) of a linear time invariant system are related as follows :
\(y(t)+\frac{dy(t)}{dt}+0.5\frac{d^2y(t)}{dt^2}=x(t)+0.1\frac{dx(t)}{dt}\)
What is the Laplace transform of the impulse response of the system ?
\(y(t)+\frac{dy(t)}{dt}+0.5\frac{d^2y(t)}{dt^2}=x(t)+0.1\frac{dx(t)}{dt}\)
What is the Laplace transform of the impulse response of the system ?
Updated On: Jul 17, 2024
- \(\frac{0.5s^2+s+1}{0.1s+1}\)
- \(\frac{0.1s+1}{0.5s^2+s+1}\)
- \(\frac{0.1s+s^2}{s^2+s+0.5}\)
- \(\frac{s^2+s+0.5}{0.1s^2+s}\)
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The Correct Option is B
Solution and Explanation
The correct option is (B) : \(\frac{0.1s+1}{0.5s^2+s+1}\).
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