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dx dt = x(8x 6y + 480) dy dt = y(x2 y2 + 2500)

Chapter , Problem 13

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QUESTION:

dx dt = x(8x 6y + 480) dy dt = y(x2 y2 + 2500)

Questions & Answers

QUESTION:

dx dt = x(8x 6y + 480) dy dt = y(x2 y2 + 2500)

ANSWER:

Step 1 of 6

(a)

We first find the equilibrium points by solving for  and  of the following system

From the first equation we get either  or .

Plugging  into the second equation

Thus  gives us equilibrium points ,  and .

Now plugging  into the second equation

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