The switch in Figure P10-22 has been in position \(\mathrm{B}\) for a long time and is moved to position A at \(t=0\). Transform the circuit into the s domain and solve for \(V_{\mathrm{C}}(s), v_{\mathrm{C}}(t), V_{\mathrm{O}}(\) \(s)\), and \(v_{\mathrm{O}}(t)\) in symbolic form.