Differental Equations
posted by Erica .
a) Sketch the phase line for the differential equation
dy/dt=1/((y2)(y+1))
and discuss the behavior of the solution with initial condition y(0)=1/2
b) Apply analytic techniques to the initialvalue problem
dy/dt=1/((y2)(y+1))), y(0)=1/2
and compare your results with your discussion in part (a).
I couldn't get the equilibrium points for the equation so I did the phase line without them, and everything above 2 and below 1 was positive and between 2 and 1 is negative.
When y(0)=1/2, the solution is negative but what happens when it gets to 2 or 1 if they are not equilibrium points? And I don't really understand what they are asking for in part b.
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