Is there a general solution (in terms of simple known functions) for the following system of coupled non-linear edo's ?

x'(t) = -a1x^2 -bxy

y'(t) = -a2y^2 -bxy

where a1, a2 and b are real constants

Thank you for your help,

Silmar

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.