Nonhomogeneous Second-Order Equations — Engineering Board Exam Practice Questions

10 free engineering board exam reviewer questions on Nonhomogeneous Second-Order Equations (Differential Equations), each with the correct answer and a worked solution.

1. Use variation of parameters to solve y''+y= x for 0<x< π2.
2. Find the general solution of y''-4y'+4y=e2x.
3. Find the general solution of y''+y= x.
4. Solve y''+y=2 with y(0)=0 and y'(0)=0, and find y(π).
5. Find the general solution of y''+3y'+2y=12x2.
6. Find the general solution of y''-2y'-3y=6e-x.
7. Find the general solution of y''+4y=8e2x.
8. Find the general solution of y''-3y'+2y=4x.
9. Find the general solution of y''+y'-2y=6.
10. Find the general solution of y''-y=4.