s251ex2(sp03)

s251ex2(sp03) - C 2 µ 5-3 e-t(b α =-6 5 10 X t = 2 e 2...

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MATH 251 Spring 2003 Exam 2 April 3, 2003 ANSWERS: 1. (a); 2. (b); 3. (b); 4. (b); 5. (d); 6. (a) u = 6 e - 3 t sin t ; (b) 1 rad/sec. 7. f ( t ) = [ u 0 ( t ) - u 4 ( t )] e 2 t + u 4 ( t )[ t 2 - 1] = u 0 ( t ) e 2 t + u 4 ( t )[ t 2 - e 2 t - 1] ; F ( s ) = 1 s - 2 - e - 4 s e 8 s - 2 + e - 4 s µ 2 s 3 + 8 s 2 + 16 s - e - 4 s s . 8. y ( t ) = u 3 ( t ) e - ( t - 3) sin( t - 3) . 9. (a) X ( t ) = C 1 µ 1 1 e 7 t +
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Unformatted text preview: C 2 µ 5-3 ¶ e-t ; (b) α =-6 5 . 10. X ( t ) = 2 e 2 t µ cos t-sin t cos t ¶ + e 2 t µ sin t + cos t sin t ¶ ....
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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 Penn State.

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