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Math Help - proving fundamental set of solutions

  1. #1
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    proving fundamental set of solutions

    i want to prove that for a homogeneous, constant-coefficient, differential equation that has k repeated roots r, the solutions are e^rt, te^rt,...,t^(k-1)e^rt.

    i know i have to use the Wronskian and take the determinant but how would you take the determinant of such a huge matrix? is that the only way to prove it?
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  2. #2
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    how would you prove this?
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