dy/dx = (x - y + 2)/(x - y + 1)

i let x = X + p nad y = Y + q

then I have to solve what p and q are the only problem is when I use simulanteous equations both the p and q cancel out so I can't find what they equal.. =.= can anyone help?

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- Oct 26th 2010, 05:09 AMCookieChomogeneous ODE requiring change of variables
dy/dx = (x - y + 2)/(x - y + 1)

i let x = X + p nad y = Y + q

then I have to solve what p and q are the only problem is when I use simulanteous equations both the p and q cancel out so I can't find what they equal.. =.= can anyone help? - Oct 26th 2010, 05:29 AMAckbeet
Let u = x - y. Then u' = 1 - y'. The resulting DE is autonomous (no x's in it), hence separable.