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Math Help - Eliminating the arbitrary constants

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    Eliminating the arbitrary constants

    Hi, all got a Question im a bit stuck on need a lil help if possible.

    X^3(d^3 y/dx^3)-3X^2(d^2 y/dx^2)+6x(dy/dx)-6y = 0

    can be written as y = c1(X)+c2(x^2)+c3(x^3)

    for choices of the arbitrary constants solve the initial value problem which consists of the above differential equation and the three conditions y(2)=0, y(2)=2 and y(2)=2, where the denotes differentiation with respect to x.

    i tried to differinate the 2nd equation 3 times, and then just using algebra to try find c1 c2 and c3 with the 3 equations i came up with, but im notsure where im ment to be heading with this.

    im not quite i understand what the question is asking so any help is appreciated

    Thanks
    Last edited by akira111; February 4th 2009 at 07:34 PM.
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