Consider the RLC circuit, output is the voltage across the capacitor.
• Develop equation of motion (model) for the system describing
relationship between input and output. ($v_{in}(t) = u(t)$, and
$v_o(t) = y(t)$).
• Obtain transfer function from the model.
• Obtain step function response of the system for underdamped
(damped oscillation).
• Calculate and show all the specifications such as, rise time,
settling time, peak time and percentage of over shoot on your
simulation results