id: 06586001
dt: j
an: 2016d.00785
au: Camporesi, Roberto
ti: A fresh look at linear ordinary differential equations with constant
coefficients. Revisiting the impulsive response method using
factorization.
so: Int. J. Math. Educ. Sci. Technol. 47, No. 1, 82-99 (2016).
py: 2016
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: I75
ut: ordinary differential equations; Green functions; instructional exposition
ci:
li: doi:10.1080/0020739X.2015.1057246
ab: Summary: We present an approach to the impulsive response method for
solving linear constant-coefficient ordinary differential equations of
any order based on the factorization of the differential operator. The
approach is elementary, we only assume a basic knowledge of calculus
and linear algebra. In particular, we avoid the use of distribution
theory, as well as of the other more advanced approaches: Laplace
transform, linear systems, the general theory of linear equations with
variable coefficients and variation of parameters. The approach
presented here can be used in a first course on differential equations
for science and engineering majors.
rv: