6. Find the general solution of the differential equation y' = t.
7. Find all of the equilibrium solutions of the differential equation y' = y2 – 1. Also plot the slope field. What do you think will happen to solutions that are not equilibria?
8. What would be the general solution of the simple differential equation
y' = 0? What is the behavior of all of these solutions?
9. Consider the differential equation given by Newton’s second law, my” = g, where we assume that m and g are constants. Can you find some solutions of this equation?