MAP 2302 Midterm: MAP 2302 FIU Exam 215k
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Prof. s. hudson: [15 pts] find the general solution to yiv y = 0 using ch. 4. 2 methods. Hint: if you get stuck on the algebra, the formula for a2 b2 may help. It can be used on x4 y4, etc: [15 pts] find the general solution using the uc method of ch 4. 3. Hint yc = c1e x + c2e 5x. y + 6y + 5y = 2ex + 10e5x: [20 pts] a 12-lb weight is placed on the lower end of a coil spring suspended from the ceiling. The weight comes to rest in its equilibrium position, thereby stretching the spring. The weight is then pulled down another 2 in, and released from rest at time t = 0. Find the displacement (in feet) as a function of t, and the amplitude of the motion. Assume no air resistance or other force is present. In free damped motion, x(t) = 0 can occur at most once.
