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Math Help - differential equation check

  1. #1
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    differential equation check

    Use reduction of order to determine 2 linearly independent solutions of

    (1 - x^2)y'' + 6xy' - 6y = 0

    I realised that one of the solutions is x, so used the reduction formula to obtain a second solution of 1/5x^6 - x^4 + 3x^2 + 1... is this right? I've tried putting it back into the DE which gave 0 but I'm not not sure if that means its definitely right...

    Thanks in advance!
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  2. #2
    Senior Member Peritus's Avatar
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    that means its definitely right
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