s251ex1(su03) - = 0 . 6-3 200 Q ( t ) , Q (0) = 0 ; (b) Q (...

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MATH 251 Summer 2003 Exam 1 July 2, 2003 ANSWERS: 1. (c); 2. (d); 3. (c). 4. (a) y = t + 12 t 2 , (b) (0 , ) . 5. x 4 + 2 xy + y sin x + y 2 = 4 . 6. (a) equilibrium solutions: y = - 10 , 0 , 10 ; (b) y = - 10 asymptotically stable; y = 0 semistable; y = 10 unstable; (c) lim t →∞ y ( t ) = 0 , (d) y (100) = 0 . 7. (a) dQ dt
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Unformatted text preview: = 0 . 6-3 200 Q ( t ) , Q (0) = 0 ; (b) Q ( t ) = 40-40 e-3 t 200 ; (c) T = 200 3 (ln 20-ln 19) . 8. y ( t ) = 2 e t cos2 t-3 e t sin 2 t . 9. y ( t ) = C 1 t + C 2 t 1 2 ....
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This note was uploaded on 07/23/2008 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.

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