The governing equation for an \(\mathrm{RC}\) circuit driven by an applied voltage \(v(t)\) is derived as

\[R C \dot{V}+V=v(t), V(0)=V_{0}\]

where:

\(V\) is the voltage across the capacitor

\(V_{0}\) is the capacitor voltage at the initial time Assume that the applied voltage is a ramp with slope of \(\frac{1}{2}\). Find the steady-state error between the input and the system response.