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s251ex2(su02) - MATH 251 Summer 2002 Exam 2 ANSWERS 1(a 2(d...

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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 +
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