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## Homework Statement

f'(x)= x+1-yx-y

Solve for f(x)

## Homework Equations

definitions of integrals and derivatives

## The Attempt at a Solution

Okay, so I integrated both sides.

This gives f(x) = x^2/2 + x -integral(yx) - integral(y) +c

The problem I'm having is how do you integrate when there is a y in the function? I'm guessing this has something to do with the definition, i.e. f(x)=y=integral(f'(x)), I'm just not sure how to manipulate the equation. Does anyone know the trick to this?