
06585971
j
2016d.00783
RiveraFigueroa, Antonio
RiveraRebolledo, Jos\'e Manuel
A straightforward method to solve the linear differential equations with constant coefficients of order $n$.
Int. J. Math. Educ. Sci. Technol. 46, No. 6, 928943 (2015).
2015
Taylor \& Francis, Abingdon, Oxfordshire
EN
I75
linear differential equations of order $n$
method of variation of parameters
general solution
doi:10.1080/0020739X.2015.1018977
Summary: In this paper, we generalize a straightforward method to solve the nonhomogeneous secondorder linear differential equations with constant coefficients published in a previous paper, for the case of linear differential equations of order $n$. As in the case of order 2, this new method does not require the uniqueness and existence theorem of the solution of the problem of initial values nor the characterization of the linear independence of solutions by the Wronskian nor the method of variation of parameters. Moreover, we get a unique formula that expresses the general solution independently of the multiplicities of the roots of the characteristic equation.