Differential Equations by Laplace Transform — Engineering Board Exam Practice Questions

4 free engineering board exam reviewer questions on Differential Equations by Laplace Transform (Advanced Engineering Mathematics), each with the correct answer and a worked solution.

1. Use Laplace transforms to solve y''+3y'+2y=e-t with y(0)=y'(0)=0, and find y(2).
2. Use Laplace transforms to solve y''+4y= 2t with y(0)=y'(0)=0, and find y≤ft( π4 ).
3. Use Laplace transforms to solve y''-3y'+2y=0 with y(0)=1 and y'(0)=0, and find y(0.5).
4. Use Laplace transforms to solve y'+4y=8 with y(0)=0, and find y(0.5).