Bernoulli and Reducible Equations — Engineering Board Exam Practice Questions

6 free engineering board exam reviewer questions on Bernoulli and Reducible Equations (Differential Equations), each with the correct answer and a worked solution.

1. Find the general solution of dy/dx+y/x=xy3 for x>0.
2. Find the general solution of dy/dx=(y-x)2+1.
3. Find the general solution of dy/dx=(x+y)2.
4. Find the general solution of dy/dx+y/x=xy2 for x>0.
5. Find the general solution of dy/dx+y=xy2.
6. Which substitution reduces the Bernoulli equation dy/dx+P(x)y=Q(x)yn to a linear equation?