s11_mthsc208_ws5d-InverseLaplace

s11_mthsc208_ws5d-InverseLaplace - MthSc 208 (Spring 2011)...

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Unformatted text preview: MthSc 208 (Spring 2011) Worksheet 5d MthSc 208: Differential Equations (Spring 2011) In-class Worksheet 5d: Inverse Laplace Transforms NAME: Recall the following properties of the Laplace transform: (i) L{eat }(s) = 1 s-a s2 s , + b2 L{sin bt}(s) = s2 b + b2 (ii) L{cos bt}(s) = (iii) L{eat f (t)}(s) = F (s - a) 1. Compute the inverse Laplace transform of Y (s) = 3 . (Factor, then use (i).) 2 - 6s 2. Compute the inverse Laplace transform of Y (s) = 1 . (Partial fractions, then use (i).) (s - 3)(s + 1) Written by M. Macauley 1 MthSc 208 (Spring 2011) Worksheet 5d 3. Compute the Laplace transform of Y (s) = (ii) and (iii).) 1 . (Complete the square, then factor and use s2 + 4s + 13 4. Compute the inverse Laplace transform of Y (s) = and use (ii) and (iii).) s2 s . (Complete the square, then factor + 4s + 13 Written by M. Macauley 2 ...
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This note was uploaded on 03/11/2012 for the course MTHSC 208 taught by Professor Staufeneger during the Spring '09 term at Clemson.

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s11_mthsc208_ws5d-InverseLaplace - MthSc 208 (Spring 2011)...

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