A separable differential equation is a first-order differential equation that can be algebraically manipulated to look like:


Af(y)dy = g(x)dx
Bf(x)dx + f(y)dy
Cg(y)dx = f(x)dx
Df(x)dx = f(y)dy
EBoth f(y)dy = g(x)dx and f(x)dx = f(y)dy