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First Order ODE

  1. Sep 20, 2011 #1

    ngj

    User Avatar

    i have this differential equation of the first order
    [x^2+y^2]+[2xy+y^2+(x^3/3)]dy/dx=0
    i tried to solve it by substitution putting x^2+y^2=v ,but it doesn't work also it is not exact or homogeneus to solve it by these methods. I still belive it can be solved using substitution but i can't reach to the correct one
    so please help me solving this diff. equation
     
  2. jcsd
  3. Sep 21, 2011 #2

    Mark44

    Staff: Mentor

    You might try u = y/x ==> y = ux, so y' = u + u'x.

    I can't guarantee it will work, but it's worth a try if you can get the DE to separate.
     
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