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## Homework Statement

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)

## Homework Equations

y'(x)=f(ax+by+c)

v=ax+by+c

## 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)

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