s11_mthsc208_ws5a-LaplaceIntegrals

s11_mthsc208_ws5a-LaplaceIntegrals - MthSc 208 (Spring...

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Unformatted text preview: MthSc 208 (Spring 2011) Worksheet 5a MthSc 208: Differential Equations (Spring 2011) In-class Worksheet 5a: Laplace Transforms NAME: The Laplace transform of a function f (t) is the function F (s) := L{f (t)}(s) = 0 f (t)e-st dt. 1. Compute the Laplace transform of the function f (t) = eat . What is the domain of F (s)? 2. Let f (t) = 1 0 0t1 Sketch a graph of f (t) and compute its Laplace transform. t > 1. Written by M. Macauley 1 MthSc 208 (Spring 2011) Worksheet 5a 3. If f (t) = t, compute L(f ). 4. Let f (t) = t 1 0t1 Sketch a graph of f (t) and compute its Laplace transform. t > 1. Written by M. Macauley 2 ...
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s11_mthsc208_ws5a-LaplaceIntegrals - MthSc 208 (Spring...

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