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 contribution was implemented in Markdown, providing a detailed, step-by-step walkthrough that included initial conditions to support learner comprehension. Leveraging expertise in differential equations and technical writing, the work expanded the repository’s instructional content and strengthened educational pipelines for users seeking to master ODE solutions. No bug fixes were addressed during this period, with efforts concentrated on enhancing the clarity and depth of the educational material through precise mathematical exposition and accessible documentation practices.