Question: 7. [25 pts.] (a) Let m, c, k, Fo> 0 be positive constants with c > 4mk. Find the general solution for y(t) of

7. [25 pts.] (a) Let m, c, k, Fo> 0 be positive

7. [25 pts.] (a) Let m, c, k, Fo> 0 be positive constants with c > 4mk. Find the general solution for y(t) of the ODE my" + cy' + ky = Fo. (b) How does y(t) behave as t +? (c) Give a physical interpretation of this ODE and the behavior of its solu- tions.

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