# Form differential equation

## Homework Statement

i was given dy/dx = -(4x+4y) / (4x+4y-2) , v= x +y . I have tried to do ( as in the photo) , but I didn't get the ans , in the last line of my working , the V and x are not separable , which part of my working is wrong ?

## The Attempt at a Solution

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phyzguy
If v = x+y, then dv/dx = 1 + dy/dx, not x + dy/dx as you wrote.

hotjohn
If v = x+y, then dv/dx = 1 + dy/dx, not x + dy/dx as you wrote.
i have redone the question , but i gt stucked here , how to proceed?

btw , the ans given is - ( (x+y) ^2 ) +(x+y ) = x +A

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phyzguy