4.1.5. Exercises

  1. Prove that the Laplace transform of \(Ae^{st}\) equals \(A/(s+a)\).

  2. What is the transfer function \(H(s)=\frac{U_{\mbox{out}}(s)}{U_{\mbox{in}}(s)}\) for the electronic scheme shown below.

    Figure made with TikZ

  3. Plot the frequency response of the filter sketched above.