hw_2_24_09

hw_2_24_09 - MA 221 Homework Solutions Due date: February...

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MA 221 Homework Solutions Due date : February 24 , 2009 7 . 2pg . 359 # 1 , 7 ̄ , 9 ̄ , 10 , 1 ̄ 5 ̄ , 16 , 1 ̄ 7 ̄ (Underlined problems are to be handed in) In problems 1, 7 and 9, use Definition 1 to determine the Laplace transform of the given function. 1.) t L t  s 0 e st dt lim N td e st s lim N te st s 0 N 1 s 0 N e st dt lim N te st s 0 N e st s 2 0 N lim N Ne sN s 0 e sN s 2 1 s 2 1 s 2 , s 0, e sN 0and Ne sN N e sN 0as N 7 ̄ .) e 2 t cos3 t L e 2 t cos3 t  s 0 e st e 2 t cos3 tdt 0 e 2 s t cos3 tdt lim N e 2 s t  2 s cos3 t 3sin3 t 2 s 2 9 0 N lim N e 2 s N  2 s cos3 N 3sin3 N 2 s 2 s 2 9 s 2 s 2 2 9 , s 2
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hw_2_24_09 - MA 221 Homework Solutions Due date: February...

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