(Solved): Q3: In the following RLC circuit, consider that Vs is the input/excitation and VR is the outp ...

Q3: In the following RLC circuit, consider that $V_s$ is the input/excitation and $V_R$ is the output/response. 1) Use basic circuit laws to derive the system equation. 2) Is the system equation an LCCDE? 3) Is the circuit linear when the initial conditions are zero?