Can I get help on the solution of the following 2 systems:

1. dx/dt = -y(y-1) dy/dt = (x-1)(y-1)

2. dx/dt = 1/y dy/dt = 1/x

Thanka a lot for any help.

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- May 1st 2010, 02:14 PMthomas_donaldNonlinear Autonomous System
Can I get help on the solution of the following 2 systems:

1. dx/dt = -y(y-1) dy/dt = (x-1)(y-1)

2. dx/dt = 1/y dy/dt = 1/x

Thanka a lot for any help. - May 1st 2010, 11:11 PMkjchauhan
(1) Pl Note that,

Now integrate..

Same way,,,

(2)

Now integrate.. - May 2nd 2010, 09:35 AMthomas_donald
Thank you very much.

I am able to solve x(t) and y(t) for System #2.

However, for System #1 if I integrate, I get y^2 = -(x^2)/2+x, and I am not sure how to get y(t) and x(t). - May 2nd 2010, 09:44 PMkjchauhan
- May 3rd 2010, 04:19 PMthomas_donald
Thank you very much.