consider the autonomous diffeerential equation y'=(y-4)(y+2) 1) what are the constant solutions of this differential equation?...

consider the autonomous diffeerential equation y'=(y-4)(y+2)

1) what are the constant solutions of this differential equation?

2) Let g(y)=(y-4)(y+2) sketch this curve with y on the horizontal axis

3) for which of the following inital conditions. is the solution curve incrreasing y(0)=-3, y(0)=2, y(0)=5

4) Plot the solution curves corresponding to the intial conditions in part c. in the ty plane

5) classify each of the constant solutions you found as stable, unstable, or semi

Expert Solution

Colby Messinger answered 2 years ago

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