Tutorial Week 8
From UBCMATH WIKI
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.
- 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} Tutorial Week 8 Solutions
