Posted by Erica on Sunday, February 3, 2013 at 2:51pm.
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.

Differential eqns  Steve, Sunday, February 3, 2013 at 2:59pm
The page at
http://www.sosmath.com/diffeq/first/phaseline/phaseline.html
has quite a lengthy and clear discussion of phase lines and equilibrium points.
Part (b) wants you to solve the equation analytically and compare the solution with your qualitative analysis in part (a).

Differential eqns  Erica, Sunday, February 3, 2013 at 4:22pm
I read the info, but it doesnt talk about functions with no equilibrium point.
Answer This Question
Related Questions
 Differential Equations  a) Sketch the phase line for the differential equation ...
 Differential Equations  a) Sketch the phase line for the differential equation ...
 Differental Equations  a) Sketch the phase line for the differential equation ...
 PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!  1) What are the equilibrium...
 Calculus!!  Consider the differential equation given by dy/dx = xy/2. A. Let y=...
 I would like to understand my calc homework:/  Consider the differential ...
 Calculus  Differential Equations  Use separation of variables to find the ...
 Differential Equations (Another) Cont.  For the following initial value problem...
 Calculus  Differential Equations  Use separation of variables to find the ...
 Differential Equations  Solve the seperable differential equation for U. du/dt...
More Related Questions