Hello Everybody, I would suggest the problems below as practice for the midterm. You don't have to do all the problems. I would suggest doing at least 3 problems for each type of differential equation. Problems involving integrating factors and separable equations should be standard at this point. Try not looking at your notes! Remember also that the solutions are at the back of the book. I've also found some nice problems in an on-line book http://math.msu.edu/~gnagy/teaching/ode.pdf There are solutions at the end of it, too. ***** Integrating factors Problems 1.2.1 to 1.2.6 on page 19 of http://math.msu.edu/~gnagy/teaching/ode.pdf And also the easier Problems 1.1.1 to 1.1.6 on page 12 of http://math.msu.edu/~gnagy/teaching/ode.pdf ***** Separable equations Section 2.1, problems 13, 14, 16, 17 Section 2.1, problems 24, 25 26 Don't waste time looking for max/min or any other additional question they might ask you about the solution. ***** Homogeneous equations: Problems 1.3.5, 1.3.6, 1.3.7 on page 28 of http://math.msu.edu/~gnagy/teaching/ode.pdf AND/OR Section 2.1, problems 31 to 35 ***** Exact equations Problems 1.4.1, 1.4.2, 1.4.3 on page 37 of http://math.msu.edu/~gnagy/teaching/ode.pdf AND/OR Section 2.6, problems 1ab to 9ab. Good luck, Maks.