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CON 101 BOOK REPORT KILLER SHOWAn undamped forced oscillation is modeled as a nonhomogeneous ODE as follows: my + ky = cost + 2sint where

CON 101 BOOK REPORT KILLER SHOWAn undamped forced oscillation is modeled as a nonhomogeneous ODE as follows: my + ky = cost + 2sint where m = 1, k = 4, and 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 does not equal the natural frequency of this system II) when equals the natural frequency of this system. b) Based on your solution above, how will you choose your in your input force to reach the case of resonance? Then show your solution in case of resonance and briefly describe or draw the behavior of your system in resonance

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