General Mathematics


Factoring any Second Order Homogeneous Linear Ordinary Differenial Equation

Authors: Claude Michael Cassano

Elementary ordinary differential equations texts often present factorization of ordinary differential equations with constant coefficients by linear operators. The theorem, here, demonstrates that any Second Order Homogeneous Linear Ordinary Differential Equation with differentiable coefficients may be factored via two linear differential operators, by way of the reduction of order formula. Since the reduction of order formula applies at any order, this theorem may be generalized to any order.

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[v1] 2017-08-18 20:48:18

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