This is of practical interest since a single solution of an ODE can often be guessed.

(a) How could you reduce the order of a linear constant-coefficient ODE if a solution is known?

(b) Reduce x^{3}y"' - 3x^{2}y" + (6 - x^{2})xy' - (6 - x^{2})y = 0, using y_{1 }= x_{ }(perhaps obtainable by inspection).

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