2. (7 points each) The following differential equation represents the motion of an object with mass m, the friction c, a
Posted: Sun Jul 10, 2022 11:10 am
2. (7 points each) The following differential equation represents the motion of an object with mass m, the friction c, and the spring constant k in a spring-mass system with damping: my" + cy' + ky = Asinut for c²> 4mk and m, c, k, w and A are positive √c²-4mk constants. Let wo where = 2m (a) Find the general solution of the homogeneous system ye(t) and evaluate lim ye(t). (b) Set up a reasonable particular solution form of the nonhomogeneous system. 1-8