Geodesic
Method for constructing solutions of linear ordinary differential equations with constant coefficients
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 2, pp. 237-252 
V. V. Karachik. Method for constructing solutions of linear ordinary differential equations with constant coefficients. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 2, pp. 237-252. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_2_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For Cauchy problems involving linear differential equations with constant coefficients, a new method for constructing solutions without determining the roots of the characteristic equation is proposed. Formulas for the differentiation of the solution with respect to the equation coefficients are derived, and an approximate analytical solution is found.

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