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Unformatted text preview: growth model, then solve it. Show your steps. 3. Solve x 2 y + 2 xy = cos 2 x . 4. Solve y 00-4 y = xe x + cos 2 x . 5. Solve y 00 + y = tan x . 6. Use power series to solve ( x-3) y + 2 y = 0. 7. Solve 4 y 00 + 12 y + 9 y = xe-3 2 x . 8. A spring has a mass of 2 kg and has damping constant 14, and a force of 6 N is required to keep the spring stretched 0.5 m beyond is natural length. The spring is stretched 1 m beyond its natural length and released with zero velocity. (a) Find the position of the mass at time t . (b) What mass would produce critical damping? (c) What damping constant would produce critical damping?...
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This note was uploaded on 02/19/2012 for the course MATH 1 taught by Professor Wilkening during the Spring '08 term at University of California, Berkeley.
- Spring '08