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Does anyone have any experience with how to solve non-linear ODE's numerically, perhaps in mathematica??

I am trying to solve the following equations:

[tex]

3H_a^2+3H_aH_b=K_1

[/tex]

[tex]

\dot{H}_a+3H_a^2+H_aH_b=K_2

[/tex]

[tex]

\dot{H}_b+3H_a^2+3H_aH_b=K_3

[/tex]

Where [tex]H_a[/tex] and [tex]H_b[/tex] are both functions of time and the K's are just constants.

Any help appreciated!

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# Non-linear ODE's

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