Functions and Analysis


Factoring ANY Second Order Linear Ordinary Differential Equation

Authors: Claude Michael Cassano

Any Second Order Linear Ordinary Differential Equation may be factored via two linear differential operators. The initial theorem demonstrates that for homogeneous 2nd order LODEs. Theorems that follow improve by supplying the solution of such factorization, extending the theorem to inhomogeneous LODEs, and further providing a generalization which includes the constant coefficients and Cauchy-Euler LODEs; culminating in a single-parameter LODE solution formula with suggested usage examples.

Comments: 4 Pages.

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Submission history

[v1] 2019-11-30 02:59:28

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