1. The problem statement, all variables and given/known data Finding the complete response (steady-state and transient) is a long and laborious task. My lecturer's notes read (since at our stage of the course, we're mostly interested in the steady-state part of the solution and not so much the transient) : "The simple method for finding the steady-state part of the response to a sinusoidal input is simply to use the imaginary part of "s", substituting "jω" in place of "s" in the transfer function". Then he goes on to show how to get the magnitude of the transfer function, G(s) / G(jω), and then on to get the phase. Please explain what the magnitude of the transfer function has to do with the steady-state part of the solution, yss(t)? 2. Relevant equations 3. The attempt at a solution I have no attempt to the solution as I just know that the transfer function, G(s), is y(s)/x(s). I don't see how to get yss(t) from G(s).