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Homework Help: IVP ODE checking specifics of solution

  1. Mar 9, 2013 #1
    1. The problem statement, all variables and given/known data
    I've got an IVP where,
    3xy+y2+(x2+xy)y'=0, y(1)=0

    3. The attempt at a solution
    I've solved to get,
    x2y(x+[itex]\frac{1}{2}[/itex]y)=0

    Is it correct to say,
    x=0 or y=0 or y=-2x,
    Since y= 0 is the only solution that fits y(1)=0, then
    y=0 [itex]\forall[/itex]x
     
  2. jcsd
  3. Mar 9, 2013 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    I didn't check your solution. But in any case, x=0 wouldn't be a solution. Otherwise, assuming your work is OK, yes.
     
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