- #1

xicor

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## Homework Statement

Find the equilibrium and determine its stability for the model of Sec 1.4. Assume x and y are both

strictly positive (nonzero).

## Homework Equations

Differential equations of section 1.4

(1/x)(dx/dt) = a

_{1}- b

_{1}y

(1/y)(dy/dt) = -a

_{2}+ b

_{2}x

## The Attempt at a Solution

I solved the two differential equations and got x(t) = e^t(a

_{1}-b

_{1}y) and y(t) = e^t(-a

_{2}+b

_{2}x) so once I had these I though of what happens to the equations when t approaches infinity but that's where I'm unsure because x and y are apart of each other eqation. Either both of them approach infinity as t approaches infinity and there is no equilibrium or there is something more complex that I can't seem to figure out yet.

Thanks to anybody who helps.