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and then the operator that has as characteristic polynomial. By the exponential shift theorem,

and thus one gets zero after application of 1=$\backslash frac\{ddx\}\; -\; \backslash alpha$.}}

As, by the fundamental theorem of algebra, the sum of the multiplicities of the roots of a polynomial equals the degree of the polynomial, the number of above solutions equals the order of the differential equation, and these solutions form

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