My professor states that a differential equation of form y'(x)=f(ax+by+c) can be reduced to a separable equation by substituting in v=ax+by+c, but I don't see how.
Edit: more specifically: y'(x)= sqrt(3x -4y +2)
The Attempt at a Solution
If v=ax+by+c, then dv/dx = a + b*dy/dx
Then dv/dx = a + b*f(v)
But this isn't a separable differential equation... the constant a is in the way.
Edit: more specifically:
dv/dx = 3 - 4*sqrt(v)