How can I solve the differential equation Ax + Bdx = -Cdx/y + Cdy/y^2, where A, B and C are constants?

Answer 1

 Ax + Bdx = -Cdx/y + Cdy/y^2

This equation is not accurate i.e. we cannot isolate dy/dx you would end up with

ax/dx+B=-C/y+y'

if Ax had a dx on it, we could solve it but it doesn't so this is a false statement