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Differential equation!

  1. Feb 21, 2005 #1
    How can I find the solution to this differential equation: dy/dx = x^3/y^2 given y(2) = 3?
    I'd just like a hint on how I can integrate x^3/y^2.... because that's where I'm falling.
    Thanks for any responses.
  2. jcsd
  3. Feb 21, 2005 #2
    Can you not separate the equation and then integrate?
  4. Feb 21, 2005 #3
    When I seperate, do I get:
    x^3dx - y^2dy = 0?
    Or is this wrong?
    I was asking to check..
  5. Feb 21, 2005 #4


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    Staff Emeritus
    Science Advisor

    That's fine- although you might find it simpler yet to write the equation as
    x3dx= y2dy

    Now integrate both sides. You get a "constant of integration" when you do that. Remember that y(2)= 3 means that when x= 2, y= 3. That will help you determine what that constant must be.
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