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First integral/general integral

  1. Sep 18, 2011 #1
    1. The problem statement, all variables and given/known data
    Find general integral of [tex]{(y+z)Z_x+yZ_y=x-y}[/tex]


    2. Relevant equations
    [tex]{pZ_x+qZ_y=r}[/tex]
    [tex]{f(u_1,u_2)=0}[/tex] (u1 and u2 are first integrals, this is the definition of a general integral)



    3. The attempt at a solution
    I identified p=x+z, q=y and r=x-y, I'm thinking I might have to do something with integral curves to find the first integrals, but I don't how I would do that.

    Thanks for any help!
     
    Last edited: Sep 18, 2011
  2. jcsd
  3. Sep 19, 2011 #2
    Had a brain fart when I asked this haha, forgot that [tex]{dx/p=dy/q=dz/r}[/tex] (posted this just incase someone googles a similar problem and sees this thread).
     
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