s251ex1(su02) - unstable; (c) lim t y ( t ) = 4 . 8. (b) x...

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MATH 251 Summer 2002 Exam 1 June 27, 2002 ANSWERS: 1. (b); 2. (b); 3. (d); 4. (d). 5. y = 3 + p x 3 + 2 x 2 + 2 x + 1 . 6. the tank is flled at t = 300 then the concentration at t = 300 is c (300) = 5 64 . 7. (a) equilibrium solutions: y = - 4 , 0 , 4 ; (b) y = - 4 unstable; y = 0 asymptotically stable; y = 4
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Unformatted text preview: unstable; (c) lim t y ( t ) = 4 . 8. (b) x 2 + 2 x 2 y + y ln x + y 3 =-2 . 9. (a) y ( t ) = 3 -4 5 e-2 t + 2 + 4 5 e 3 t ; (b) =-2 . 11. y ( t ) = C 1 t 3 + C 2 t-4 ....
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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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