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Math Help - ODE

  1. #1
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    ODE

    What method should I use to solve the equation (x+y)dx-(x-y)dy=0 ? It looks like I might need to find an integrating factor to make it exact, but maybe there's a simpler way?
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  2. #2
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    It's homogeneous. That would seem to be another approach.
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  3. #3
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    Oct 2008
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    We haven't covered homogeneous equations yet. Is there another way to solve it? There are more problems like this that I am struggling with--they are from page 131 of Elementary Differential Equations (Boyce, DiPrima).
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  4. #4
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    Hi. Can't think of one. Standard approach for these is to let y=vx, get it in terms of x and v. Separate, integrate, then back substitute v=y/x. Maybe another way though.
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