An undamped forced oscillation is modeled as a nonhomogeneous ODE as follows: my\" + ky = coswt + 2sinwt where m = 1, k = 4, and w is a given constant. a) Find the general solution for this nonhomogeneous ODE. Show each step of your work. Hint: you may want to discuss two cases: - I) when to does not equal the natural frequency of this system 0 II) when w equals the natural frequency of this system. b) Based on your solution above, how will you choose your to in your input force to reach the case of resonance? Then show your solution in case of resonance and briey describe or draw the behavior of your system in resonance. P'Egi