The circuit in Figure P7-52 is in the zero state when the step function input is applied. If the input source is \(V_{\mathrm{A}}\) \(=10 \mathrm{~V}\) and \(L=0.1 \mathrm{H}\), select values of \(R\) and \(C\) so that the circuit's output \(v_{\mathrm{O}}(t)\) for \(t \geq 0\) is critically damped. Use MATLAB or Multisim to show your result for \(v_{\mathrm{O}}(t)\). 

R ww VAU(1) L C Vo(1) 19