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CalculusHelp1
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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?