The purpose of this paper is to present an alternative way of establishing the general solution of the equation x''(t)+x(t)=0 without relying on complex numbers. Our method can be extended to the corresponding non-homogeneous equation and, more generally, to higher-order equations.
PAVONE, M. (2012). A C-free approach to linear ODEs with constant coefficients. In Bollettino di Matematica pura e applicata, volume V (2012) (pp. 171-176). Aracne Editrice s.r.l..
A C-free approach to linear ODEs with constant coefficients
PAVONE, Marco
2012-01-01
Abstract
The purpose of this paper is to present an alternative way of establishing the general solution of the equation x''(t)+x(t)=0 without relying on complex numbers. Our method can be extended to the corresponding non-homogeneous equation and, more generally, to higher-order equations.
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