Differential Equations Homework #3 Show all work!! Due Wednesday, January 24

1.Verify that y = 5x + 5 is a solution to dy/dx = y/(1 + x).

2. A slope field for a differential equation is pictured. On the slope field, sketch solutions that begin at the points A, B, and C.

3. Solve the DEs using separation of variables. Give your final answer as an explicit solution.

a)  dy/dx - 5xy = 0   b)  dy/dx = 5(y - 2)          c)   2 dx - dy = 0