10. If y=c₁e³x +c₂e-5x +C3xesx+c4xe-5x +cse6x +c6e-6x is the general solution of a given linear homogeneous differential equation with constant coefficients, then the roots of the auxiliary equation are (A) all distinct. (B) all real, but there may be only one distinct root. (C) all real, some distinct, and some repeated. some distinct and some repeated, but some are not real. (E) all repeated, but not all are real.

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