s11_mthsc208_ws5b-LaplaceFormulas

s11_mthsc208_ws5b-LaplaceFormulas - MthSc 208 (Spring 2011)...

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Unformatted text preview: MthSc 208 (Spring 2011) Worksheet 5b MthSc 208: Differential Equations (Spring 2011) In-class Worksheet 5b: Properties of Laplace Transforms NAME: Consider the following properties of the Laplace transform: (i) L{ect f (t)}(s) = F (s - c) (ii) L{tn f (t)}(s) = (-1)n F (n) (s) We also know that L{eat }(s) = 1 n! s , and L{tn }(s) = n+1 , and L{cos bt}(s) = 2 . s-a s s + b2 1. Compute the Laplace transform of t2 e3t using Property (i). 2. Compute the Laplace transform of t2 e3t using Property (ii). Written by M. Macauley 1 MthSc 208 (Spring 2011) Worksheet 5b 3. Compute the Laplace transform of e2t cos 3t. Written by M. Macauley 2 ...
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s11_mthsc208_ws5b-LaplaceFormulas - MthSc 208 (Spring 2011)...

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