MATH 3D Study Guide - Midterm Guide: Maxima And Minima, Fot, Periodic Function
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Math 3d differential equations extra questions for midterm prep. Nothing for submission: three independent solutions are given to the following differential equation. Find a solution satisfying the given initial conditions. y(cid:48)(cid:48) 2y(cid:48) + 2y = 2x; yc = c1ex cos x + c2ex sin x; y(0) = 4, y(cid:48)(0) = 8 yp = x + 1. One such clock loses 10 min per day when the length of its pendulum is 30 in. Assume that the differential equation for a pendulum of length l is l (cid:48)(cid:48) + g = 0, with g = 32 ft s 2: suppose you have a damped spring system. Write x0 = x(0), v0 = x(cid:48)(0), p = c. The system is over-, under-, or critically damped as indicated. 2 > 0 (e) (overdamped) prove in this case that the mass can pass through its equilibrium position.
