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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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?