9. Laplace Transforms II

Solving Initial Value Problems — Quiz

Test your understanding of solving initial value problems with 5 practice questions.

Practice Questions

Question 1

Solve the initial value problem $y'+3y=0$, $y(0)=4$.

Question 2

Solve the initial value problem $y''+y=0$, $y(0)=0$, $y'(0)=2$.

Question 3

Solve the initial value problem $y'+y=6$, $y(0)=1$.

Question 4

Solve the initial value problem $y''+4y=8$, $y(0)=0$, $y'(0)=1$.

Question 5

Which Laplace transform formula correctly represents $\mathcal{L}\{y''\}$ when $y(0)=a$ and $y'(0)=b$?