1. y" + 14y' + 58y = 0

a) Classify the system as overdamped, underdamped, or critically damped.

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.

c) Identify the transeitn solution and the steady state solution. Describe any long term behavior of the system.