# Difference between revisions of "Euler-Cauchy dynamic equation"

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− | Let $\mathbb{T} be a [[time scale]] and let $a, b \in \mathbb{R}$. The following [[dynamic equation]] is called the Euler-Cauchy dynamic equation: | + | Let $\mathbb{T}$ be a [[time scale]] and let $a, b \in \mathbb{R}$. The following [[dynamic equation]] is called the Euler-Cauchy dynamic equation: |

$$t \sigma(t) y^{\Delta \Delta}(t)+at y^{\Delta}(t)+by(t)=0.$$ | $$t \sigma(t) y^{\Delta \Delta}(t)+at y^{\Delta}(t)+by(t)=0.$$ | ||

## Revision as of 23:00, 10 February 2017

Let $\mathbb{T}$ be a time scale and let $a, b \in \mathbb{R}$. The following dynamic equation is called the Euler-Cauchy dynamic equation: $$t \sigma(t) y^{\Delta \Delta}(t)+at y^{\Delta}(t)+by(t)=0.$$