I'm struggling solving this separable differential equations: (du/dv)

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I'm struggling solving this separable differential equations: (du/dv) = ((uv+u)/(uv+v)) I multiplied both sides by dv to get on the left side just du and cancel out dv, but after that don't know where to go. I've tried integration by parts but it doesn't look right! Any help would be greatly appreciated!!

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