9. Laplace Transforms II

Impulse Forcing — Quiz

Test your understanding of impulse forcing with 5 practice questions.

Practice Questions

Question 1

Which function models an instantaneous impulse applied at time $t=a$ in a differential equation?

Question 2

What is $\mathcal{L}\{\delta(t-a)\}$ for $a>0$?

Question 3

For $a>0$, what is $\int_0^{\infty} f(t)\delta(t-a)\,dt$?

Question 4

What is $\mathcal{L}^{-1}\{e^{-2s}\}$?

Question 5

Solve $y'(t)=\delta(t-3)$ with $y(0)=0$.