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

Properties

See also

Euler-Cauchy logarithm

References