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Homework Help: 1st O.D.E, homogenous but with constants

  1. Sep 11, 2007 #1
    1. The problem statement, all variables and given/known data

    solve: y'=(x+y-1)/(x-y-2) i.e

    2. Relevant equations



    3. The attempt at a solution

    let y=vx
    thus
    y'=v'x+v

    by substitution:

    v'x+v=(1+y/x-1/x)/(1-y/x-2/x)=(1+v-1/x)/(1-v-2/x)

    v'x=(1-1/x+v^2+2v/x)/(1-v-2/x)

    still cant seperate the variables....any ideas?

    thanksx
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 11, 2007 #2
    thanks dick does work!
     
  4. Sep 11, 2007 #3

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Uh, are you sure? I tried it again after I posted, and realized I'd made a mistake and deleted the post so it wouldn't confuse anyone. Just double check, ok?
     
    Last edited: Sep 11, 2007
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