Separable equations
An equation is separable when you can group all the x-terms with the dx on one side, and all the y-terms with the dy on the other side. Then, you can integrate both sides to find a solution.
y' = dy/dx = p(x) q(y)
observe that you can change the equation into:
dy/q(y) = p(x) dx
then, you can integrate both sides, LHS with respect to y and RHS with respect to x.
Note: do not forget the constant after integrating.
Note: do not forget the constant after integrating.