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Step Functions and Discontinuous Forcing Functions

Step Functions and Discontinuous Forcing Functions. Applications of Laplace Transforms. MATLAB Quiz. Tomorrow, March 13 Same Time As Your Section (APM B432) DON’T FORGET!!!! (NO MAKEUPS). Final. Monday March 17, Here (Peterson 110), 3-6 PM. Bring a Blue Book!. On Monday.

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Step Functions and Discontinuous Forcing Functions

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  1. Step Functions and Discontinuous Forcing Functions • Applications of Laplace Transforms

  2. MATLAB Quiz • Tomorrow, March 13 • Same Time As Your Section (APM B432) • DON’T FORGET!!!! (NO MAKEUPS) Final Monday March 17, Here (Peterson 110), 3-6 PM Bring a Blue Book!

  3. On Monday Using the Laplace Transform, we changed Initial Value Problems into Algebra Problems Example: Becomes: Inverse Transform:

  4. Heavyside or “Step Function” Think of it as “Flipping a switch”

  5. The Heavyside Function Can Be Used To Make Piecewise Continuous Functions

  6. Laplace Transform With Discontinuous ODEs Models a system where “forces” change suddenly Need The Laplace Transform of Can Use This To Compute Inverse Transforms Too

  7. Laplace Transform With Discontinuous ODEs Examples

  8. Laplace Transform With Discontinuous ODEs Examples Or

  9. Laplace Transform With Discontinuous ODEs Where

  10. Laplace Transform With Discontinuous ODEs Where Laplace Transform

  11. Laplace Transform With Discontinuous ODEs Where Solution

  12. Questions?

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