MA 265 Midterm: 4-13s-test2
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Egr 265, math tools for engineering problem solving. 4y + 5y = 0, y(0) = 2, y (0) = 2. Assume here that the positive x-direction is oriented downwards. (d) find the rst positive time at which the mass passes through the equilibrium position. 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 = 20 kg/sec. Find the largest interval centered around x = 0 in which the initial value problem y + 1 x + 2 y = 0, y(0) = 1, y (0) = 2 has a unique solution. Assume that the undamped spring mass system from problem 4 is subjected to an exterior forcing function f (t) = 5 sin(3t) newtons. Without solving the de, describe the phenomenon which you expect to see in its solutions.
