Differential equation in chemical reaction

Question

What kind of differential equation is the following? $$ y'=k(a-y)(b-y), \qquad y(0) = 0 $$

I suppose that it is a Bernoulli differential equation, but am not sure.

Answer 1

$$y'=k(a-y)(b-y), \qquad y(0) = 0$$ is separable.

$$ \frac {dy}{(a-y)(b-y)} = kdx$$

Integrate using partial fraction and solve for $y$.