Generalized linear differential equation using Hyers-Ulam stability approach

In this paper, we study the Hyers-Ulam stability with respect to linear differential condition of fourth order. Specifically, treat ${\psi}$ as an interact arrangement condition, i.e., $ \begin{align*} {\psi}^{iv} ({\varkappa}) + {\xi}_1 {\psi}{'''} ({\varkappa})+ {\xi}_2 {\psi}{''} {\xi}_3 {\psi}' {\xi}_4 {\psi}({\varkappa}) = {\Psi}({\varkappa}) \end{align*} $ where ${\psi} \in c^4 [{\ell}, {\mu}], {\Psi} {\mu}]$. We demonstrate that ${\psi}^{iv} {\Psi}({\varkappa})$ has stability. Two examples are provided illustrate usefulness proposed method.