Homogeneous First-Order Equations — Engineering Board Exam Practice Questions

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

1. Find the general solution of x,dy-y,dx=sqrt(x2+y2),dx for x>0.
2. Find the general solution of dy/dx=x+y/x-y.
3. Find the general solution of x2dy/dx=y2+2xy.
4. Find the general solution of dy/dx=y/x+ /x.
5. Find the general solution of (x2-y2),dx+2xy,dy=0.
6. Find the general solution of dy/dx=x2+y2/2xy.
7. Which substitution reduces a homogeneous first-order differential equation to a separable one?
8. Find the general solution of dy/dx=x+y/x for x>0.