2. (7 points each) The following differential equation represents the motion of an object with mass m, the friction c, a

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2. (7 points each) The following differential equation represents the motion of an object with mass m, the friction c, a

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2 7 Points Each The Following Differential Equation Represents The Motion Of An Object With Mass M The Friction C A 1
2 7 Points Each The Following Differential Equation Represents The Motion Of An Object With Mass M The Friction C A 1 (23.48 KiB) Viewed 34 times
2 7 Points Each The Following Differential Equation Represents The Motion Of An Object With Mass M The Friction C A 2
2 7 Points Each The Following Differential Equation Represents The Motion Of An Object With Mass M The Friction C A 2 (23.48 KiB) Viewed 34 times
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
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