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Differential Equation help

  1. Jan 24, 2005 #1
    Doing a problem on the Uniqueness Theorem and i do not understand it

    Can you help me by explaining why this example is unique or not, please?

    Given [tex] \frac{dy}{dt} =F(t,y) [/tex]
    Also [tex] y_{1} = -1 [/tex] for all t that are solutions
    And [tex] y_{2} = 1+ t^2 [/tex] for all t that are solutions
    and y(0) = 0

    Is the solution unique or not?

    I think it is because y1(0) < y(0) <y2(0) . Is that the only criterion for uniqueness or is there something more?
     
  2. jcsd
  3. Jan 25, 2005 #2
    can someone simply explain the criteria for uniqueness for me?\

    Maybe then i could get ahead on this problem!
     
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