During May 2025, H.L. McAdams developed a new skill-building example for the mphowardlab/essential-math repository, focusing on solving second-order ordinary differential equations using the method of undetermined coefficients. The work was delivered in Markdown, combining technical writing with mathematical rigor to provide a detailed, step-by-step walkthrough that included initial conditions. By integrating differential equations expertise with clear documentation, H.L. McAdams expanded the repository’s instructional content, supporting learners in mastering ODE solution techniques. The contribution demonstrated depth in both subject matter and communication, enhancing the educational pipeline without introducing new bugs or requiring major refactoring of existing materials.