Consider the dynamic system described by the following differential equation: y + 0.2 y + 10y = u Determine the steady state solution yss(t) when the...

Consider the dynamic system described by the following differential equation: y¨ + 0.2 ˙y + 10y = u Determine the steady state solution yss(t) when the input is u(t) = 0.5 sin(0.1t) + sin(3t + π/2). (remember, you only have to compute the solution for large values of t, when all transients have died out, not the solution that is valid for all values of t).