# 6. Find the general solution of the differential equation y’ = t . 7. Find all of the equilibrium…

6. Find the general solution of the differential equation *y' *= *t*.

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6. Find the general solution of the differential equation y’ = t . 7. Find all of the equilibrium…

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7. Find all of the equilibrium solutions of the differential equation *y' *= *y*2 – 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?