The characteristic equation is . What are the roots of that? What are thedefinitionsof "overdamped", "underdamped" or "critically damped"?

Since "i" is NOT a root of the characteristic equation above, just look for a particular solution of the form Acos(t)+ B sin(t).b) Suppose an external service F(t) = 71cos(t) + 43sin(t) is applied to the system above. Find the general solution to the resulting non-homogeneous differential equation.

What are thec) Identify the transeitn solution and the steady state solution. Describe any long term behavior of the system.definitionsof "transient solution" and "steady state solution"?