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Thread: Frobenius Method

  1. June 25th 2010, 12:14 PM #1
    sinichko
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    Frobenius Method

    (2x^{2}-x)y''+(2x-2)y'+(-2x^{2}+3x-2)y=0

    Please help me to solve this one by "Frobenius Method"
    Thanks
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  2. June 25th 2010, 12:30 PM #2
    Ackbeet
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  3. June 26th 2010, 02:51 PM #3
    HallsofIvy
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    Around what value of x? Since 2x^2- x= x(2x- 1)= 0 only for x= 0 or x= 1/2, "Frobenius' method" only applies to solutions as power series about 0 or 1/2.

    Start by writing y= \sum_{n=0}^\infty a_n(x- x_0)^{n+c} where x_0 is either 0 or 1/2.
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