MATH 240 Midterm: MATH 240 KSU Test 2s15
15 Feb 2019
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Problem 2. (16 pts) consider the initial value problem dy dx. Find the picard iterations y1(x) and y2(x) for this problem, starting with y0 = 0. Problem 3. (16 pts) solve the initial value problem y 6y + 9y = 0, y(0) = 1, y (0) = 0. Problem 4. (16 pts) find the general real solution of the equation y + 2y + 10y = 0. Problem 5. (16 pts) solve the initial value problem y + 5y 6y = 3ex, y(0) = y (0) = 0. Problem 6. (16 pts) solve the initial value problem. Problem 7. (16 pts) suppose an undamped spring-mass system has a mass of 60 g and resonates at a frequency of 0. 5 hz (that is, 0. 5 cycles sec ). A damping mechanism is then attached to the system, and it is observed that the free damped motion of the system is quasi-periodic with a period of 2. 5 sec.
