Tutorial Week 9

This worksheet is not to be handed in. It should be considered a review/practice sheet for the previous week's material in preparation for the midterm tomorrow. For review/practice of earlier material, look at the old midterms posted on the course site ("solutions" on the menu) and previous worksheets.

1. Consider $g(t)=9 (u_0(t)-u_2(t))$.
   1. Sketch $g(t)$.
   2. Find $\mathcal{L}\{ g(t)+2\delta(t-4)\}$.
   3. Solve the differential equation $y'+3y=g(t)+2\delta(t-4)$ with initial condition $y(0)=0$.
   4. Sketch the solution to (c).

Tutorial Week 9 Solutions