Suppose that the three numbers r1, r2, and r3 are

Chapter , Problem 33

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Suppose that the three numbers r1, r2, and r3 are distinct. Show that the three functions exp.r1x/, exp.r2x/, and exp.r3x/ are linearly independent by showing that their Wronskian W D exp.r1 C r2 C r3/x 111 r1 r2 r3 r2 1 r2 2 r2

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