id: 06585971
dt: j
an: 2016d.00783
au: Rivera-Figueroa, Antonio; Rivera-Rebolledo, JosÃ© Manuel
ti: A straightforward method to solve the linear differential equations with
constant coefficients of order $n$.
so: Int. J. Math. Educ. Sci. Technol. 46, No. 6, 928-943 (2015).
py: 2015
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: I75
ut: linear differential equations of order $n$; method of variation of
parameters; general solution
ci:
li: doi:10.1080/0020739X.2015.1018977
ab: Summary: In this paper, we generalize a straightforward method to solve the
nonhomogeneous second-order 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.
rv: