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Math Help - homogeneous ODE requiring change of variables

  1. #1
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    homogeneous 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?
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  2. #2
    A Plied Mathematician
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    Let u = x - y. Then u' = 1 - y'. The resulting DE is autonomous (no x's in it), hence separable.
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