hw_2_26_27_09

# hw_2_26_27_09 - MA 221 Homework Solutions Due date:...

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MA 221 Homework Solutions Due date : February 26 / 27 , 2009 7.3 p. 365 #1, 3 ̄ ,1 ̄ 1 ̄ , 21, 2 ̄ 5 ̄ a ̄ ,b ̄ ,3 ̄ 1 ̄ ,3 ̄ 3 ̄ ; (Underlined problems are to be turned in) For problems 1 , 3and11 , determine the Laplace transform of the given function using Table 7 . 1 and the properties of the transform given in Table 7 . 2 . 1.) t 2 e t sin2 t By the linearity of the Laplace transform, t 2 e t sin2 t  s t 2  s e t sin2 t  s t 2  s 2! s 2 1 2 s 3 , s 0; e t sin2 t  s 2 s 1 2 2 2 , s 1; t 2 e t sin2 t  s 2 s 3 2 s 1 2 4 3.) e t cos3 t e 6 t 1 By the linearity of the Laplace transform, e t cos3 t e 6 t 1  s e t cos3 t  s e 6 t  s 1 e t cos3 t  s s 1

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## This note was uploaded on 09/22/2009 for the course MA MA221 taught by Professor Levine during the Spring '09 term at Stevens.

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hw_2_26_27_09 - MA 221 Homework Solutions Due date:...

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