How can I solve a nonlinear DE with a constant using partial fractions?

[ksquare]

Hi, what kind of technic should i use to solve the below DE?

dx/dt=x^2-cx, where c is just a constant.

Many thanks

 

[HallsofIvy]

Hi, what kind of technic should i use to solve the below DE?

dx/dt=x^2-cx, where c is just a constant.

Many thanks

That's trivially separable. Integrate
$$\frac{dx}{x(x-c)}= dt$$
using "partial fractions" for the left side.