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s11_mthsc208_ws5f-HeavysideODE

# s11_mthsc208_ws5f-HeavysideODE - MthSc 208(Spring 2011...

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MthSc 208 (Spring 2011) Worksheet 5f MthSc 208: Differential Equations (Spring 2011) In-class Worksheet 5f: ODEs with Piecewise Forcing Terms NAME: Consider the initial value problem y 00 + y = f ( t ), y (0) = 0, y 0 (0) = 1, where f ( t ) = 2 t, 0 t 1 2 , t > 1 1. Sketch f ( t ), and write it using the Heavyside function. 2. Take the Laplace transform of the differential equation, and solve for Y ( s ). Written by M. Macauley 1

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MthSc 208 (Spring 2011)
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