MA 265 Midterm: 4-12f-test2

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31 Jan 2019
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Egr 265, math tools for engineering problem solving. 2y + 2y = 0, y(0) = 2, y (0) = 2. Find the general solution of y + 2y = sin x. Assume here that the positive x-direction is oriented downwards. (c) find the rst time at which the weight returns to the equilibrium position. Hint: there is a quick and simple way to do this. Suppose that a damping force is added to the spring-mass system in problem 4 which is proportional to the instantaneous velocity with damping coe cient = 1 pd-sec/ft. Problem 6 (10 points) (a) find the largest interval centered about x = 0 for which the ivp y . 1 x2 4 y + 2y = 2 4 y + 2y = 0 have in the interval x. Find the general solution of the 5th order linear de y(5) = 0.

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