Is there a general solution (in terms of simple known functions) for the following system of coupled non-linear EDOs ?
$$x'(t) = -a_1x^2 -bxy$$
$$y'(t) = -a_2y^2 -bxy,$$
where $a_1$, $a_2$ and $b$ are real constants.
Thank you for your help.
Is there a general solution (in terms of simple known functions) for the following system of coupled non-linear EDOs ?
$$x'(t) = -a_1x^2 -bxy$$
$$y'(t) = -a_2y^2 -bxy,$$
where $a_1$, $a_2$ and $b$ are real constants.
Thank you for your help.