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

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Expert Solution

Colby Messinger answered 1 year ago

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