Find $H(f)$ and sketch $|H(f)|$ for a system described by the differential equation\\ $\frac{dy(t)}{dt} + 4\pi y(t) = \frac{dx(t)}{dt} + 16\pi x(t)$.
Added by Douglas B.
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Step 1
To find H(f), we need to take the Laplace transform of the given differential equation. The Laplace transform of the derivative of y(t) with respect to t is sY(s) - y(0), where Y(s) is the Laplace transform of y(t). Therefore, the Laplace transform of dy(t)/dt is Show more…
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