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Unformatted text preview: terms, treat each simpler term separately, then recombine. There is a general theory of the inverse Laplace transform and of course a method of calculation, but it’s beyond us. All we need is presented in the table on Page 319. This table will be provided when needed for exams and quizzes. To ﬁnd L1 { Y ( s ) } we need to write Y ( s ) as a sum of terms that match entries in the middle column of the table, and L1 { Y ( s ) } will then be the sum of the corresponding terms in the left column of the table. EXAMPLE. Find the inverse Laplace transform of 8 s 24 s + 12 s ( s 2 + 4) . EXAMPLE. Find the solution of the initial value problem y 002 y + 2 y = et , y (0) = 0 , y (0) = 1 . HOMEWORK: SECTION 6.2...
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This note was uploaded on 11/28/2010 for the course M 56840 taught by Professor Schurle during the Spring '10 term at University of Texas.
 Spring '10
 SCHURLE

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