how to solve this equation? x+y-a/x+y-b (dy/dx)=x+y+a/x+y+b

x+y-a/x+y-b (dy/dx)=x+y+a/x+y+b

Your post as written, turns out to be:

y'= -2a/(bx) -1 ← This simple first order ODE. Please tell us where you are stuck!

If your equation is:

\(\displaystyle \displaystyle{\dfrac{x+y-a}{x+y-b} \left(\dfrac{dy}{dx}\right) \ = \ \dfrac{x+y+a}{x+y+b}}\)

You should have written it as:

(x+y-a)/(x+y-b) (dy/dx)=(x+y+a)/(x+y+b) ....those () are super important

In that case, substitute:

x + y = u and continue......
 
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