s11_mthsc208_ws5e-Heavyside

s11_mthsc208_ws5e-Heavyside - MthSc 208 (Spring 2011)...

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Unformatted text preview: MthSc 208 (Spring 2011) Worksheet 5e MthSc 208: Differential Equations (Spring 2011) In-class Worksheet 5e: Laplace Transforms and the Heavyside Function NAME: Recall the following properties of the Laplace transform: (i) L{eat }(s) = (ii) L{tn }(s) = 1 s-a n! sn+1 (iii) L{f (t - c) H(t - c)}(s) = e-cs F (s) 1. Compute L{(t - 3)2 H(t - 3)}(s). 2. Compute L{t2 H(t - 3)}(s). Written by M. Macauley 1 MthSc 208 (Spring 2011) Worksheet 5e 3. Compute L{et-1 H(t - 1)}(s). 4. Compute L{e7-t H(t - 6)}(s). Written by M. Macauley 2 ...
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s11_mthsc208_ws5e-Heavyside - MthSc 208 (Spring 2011)...

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