Homework Help: Differental Equations

Posted by Erica on Sunday, February 3, 2013 at 1:59pm.

a) Sketch the phase line for the differential equation
dy/dt=1/((y-2)(y+1))
and discuss the behavior of the solution with initial condition y(0)=1/2
b) Apply analytic techniques to the initial-value problem
dy/dt=1/((y-2)(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.

No one has answered this question yet.

Answer this Question

Related Questions

Differential Equations - a) Sketch the phase line for the differential equation ...
Differential Equations - Find the general solution of the differential equation ...
Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...
Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...
Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...
Differential equation- Math - Find the general solution of the following system ...
calculus - a particle moves along the curve xy=10. if x=2 and dy/dt=3, what is ...
calculus-differential equation - Consider the differential equation: (du/dt)=-u^...
calculus - find the solution of the differential equation dy/dt = ky, k a ...
calculus BC slope - consider the curve in xy-plane by x=e^t and y=te^(-t) for t ...

For Further Reading

First Name:
School Subject:
Answer: