Difference between revisions of "Tutorial Week 7"
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| − | You can print the [[ | + | You can print the [[Media:Tutorial7Worksheet.pdf|PDF]]. This worksheet is about Heaviside functions and solving IVPs with the Laplace transform. |
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Revision as of 18:01, 3 March 2017
Worksheet Questions
You can print the PDF. This worksheet is about Heaviside functions and solving IVPs with the Laplace transform.
- Write an expression for the function $f(t)$ shown below using Heaviside functions. In your final answer, all terms should be in the form $u_c(t) g(t-c)$ for some $g$, such that the Laplace transform is easy to compute.
Click on image for larger version.
- Use Laplace transform to solve the following initial-value problem \begin{equation} \left\{ \begin{array}{lr} y'' + 4y' + 13y = 0 \\ y(0)=1\\ y'(0)=4 \end{array} \right. \end{equation}
