Question: 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

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 x3y"' - 3x2y" + (6 - x2)xy' - (6 - x2)y = 0, using y1 = x (perhaps obtainable by inspection).

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