I need help with this differential equation and an explanation at each step (especially the substitution step)
x dx + (y - 2x) dy = 0
x + (y - 2x)(dy/dx) = 0
dy/dx = -x/(y - 2x)
dy/dx = x/(2x - y)
dy/dx = 1/[2 - (y/x)]
Let y/x = z then y = zx and ...
A Complete, Neat and Step-by-step Solution is provided.