System of non-linear ODE's do you have any suggestions to solve analytically the Non-linear ODE system 
$\dot x=18 x^2 y-3p x^2+6p xy$
$\dot y=18 x^2 y-6p xy $
where $p$ is a real constant. 
Thank you very much
cheers 

Solutions to these types of  equations .....(dx/dt) =F1(x,y.z) ;(dy/dt) =F2(x,y,z);(dz/dt) =F3(x,y,z) , ....which are called State Space Equations , are found in Non-linear Control System Engg. and Advanced Control System Engg. books. 
