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

See also

Euler-Cauchy logarithm

References

• Martin Bohner and Allan Peterson: Dynamic Equations on Time Scales (2001)... (previous)... (next): (3.35)