Linear First-Order Differential Equations — Engineering Board Exam Practice Questions

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

1. Solve the linear differential equation dy/dx+y=ex.
2. Find the integrating factor for the linear differential equation dy/dx+2/xy=x3.
3. Solve dy/dx+3y=6, given y(0)=1.
4. Find the integrating factor for dy/dx-1/xy=x2.
5. Solve xdy/dx+y=x2 for x>0.
6. Determine if dy/dx+y2=x is a linear differential equation.