Hello everybody, I've come cross the following first order nonlinear equation when trying to solve for the speed of an electrical motor at any given time t during motor start. y'=-(ay^2)+bx+c ; y(0)=0 ; a, b and c are constants; y=motor speed; x= time The Motor Starter uses a linear Torque control and the load exhibits a quadratic dependence of the motor speed. I am sure there is a possibility of solving this analitically. I've tried changing variables, reduction and using substitution with no success. Maybe I am missing something or haven't found the right substitution...Any ideas? I'll appreciate any help on this. Daniel.