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Quick Differential Equations Question

  1. Apr 23, 2010 #1
    xy'' + y' = 0

    Is it ok to multiply this whole equation by x to make it a cauchy-euler equation?
     
  2. jcsd
  3. Apr 23, 2010 #2

    rock.freak667

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    Why not just put w=y' and then solve using an integrating factor?
     
  4. Apr 23, 2010 #3
    Because this equation is under the cauchy-euler section of my book, so Im trying to figure out how it is done even though its not linear. Does anybody know if its possible to solve this as a cauchy-euler equation?
     
  5. Apr 23, 2010 #4

    rock.freak667

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    In that case, I believe you can multiply throughout by x and solve it so.
     
  6. Apr 23, 2010 #5

    vela

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    Actually, the diff. eq. is linear. Why do you think it's not?
     
  7. Apr 23, 2010 #6

    LCKurtz

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    Definitely yes, although as others have pointed out, that isn't the only way. But it is easy and quick.
     
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