An Alternative Method for the Undetermined Coefficients and the Annihilator Methods

Details An Alternative Method for the Undetermined Coefficients and the Annihilator Methods An Alternative Method for the Undetermined Coefficients and the Annihilator Methods

2011-10-20

arxiv.org/abs/1110.4425v3

Mathematics

Classical Analysis and ODEs

7 pages; 2 examples; corrected typos; added references

Scientific paper

This paper exhibits a very simple formula for a particular solution of a
linear ordinary differential equation with constant real coefficients, P(d/dt)x
= f, f a function given by a linear combination of polynomials, trigonometrical
and exponential real functions products. This is done by solving lower
triangular linear systems with constant coefficients. Two examples are given.

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