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s251ex1(fa04) - MATH 251 Fall 2004 Exam I ANSWERS 1(a first...

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MATH 251 Fall 2004 Exam I October 12, 2004 ANSWERS: 1. (a) first order, non-linear; (b) second order, non-linear; (c) second order, linear; (d) third order, linear. 2. C 3. C 4. D 5. A 6. C 7. y ( t ) = - te t - e t + 2 e 1 t 4 . 8. (a) The initial value problem describing the process is: Q = 3 e t - 3 100 Q, Q (0) = 100 . The solution is Q ( t ) = 10000 97 e - 3 100 t - 300 97 e t . (b) The limiting concentration is lim t →∞ Q ( t ) 100 = 1 100
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