s251ex2(su02) - MATH 251 Summer 2002 Exam 2 July 17, 2002...

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MATH 251 Summer 2002 Exam 2 July 17, 2002 ANSWERS: 1. (a); 2. (d); 3. (a); 4. (c); 5. Y ( t ) = ( A 2 t 2 + A 1 t + A 0 ) e 3 t + Bte - t + ( D 1 t + D 0 ) e 2 t cos 2 t + ( E 1 t + E 0 ) e 2 t sin 2 t . 6. (a) u 00 + 4 u 0 + 16 u = 0 , u (0) = 1 , u 0 (0) = 0 ; (b) e - 2 t cos 2 3 t + 1 3 e - 2 t sin 2 3 t ; (c) μ = 2 3 rad/sec; (d) ω = r k m = 4 rad/sec. 7. f ( t ) = (1 - u 3 ( t ))( t + 1) + u 3 ( t )( t 2 + e t ) = ( t + 1) + u 3 ( t )[ t 2 - t - 1 + e t ] ; F ( s ) = 1 s 2 + 1 s + e - 3 s ± 2 s 3 + 5 s 2 + 5 s + e 3 s - 1
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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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