Quadratic system of differential equations

I am trying to solve a quadratic system of differential equations. I will be thankful if anyone can help me in this regards

The equation is of the form

x′=a1*x^2+b1*y^2+a1*b1*xy

y′=a2*x^2+b2*y^2+a2*b2*xy

[darova]

[Walter Roberson]

Are those x(t) and y(t), or is it y(x), or ... ?

If they are x(t) and y(t) then the only closed form solution is x(t) = 0, y(t) = 0