Solution Methods for Linear Differential Equations with Engineering Applications

Mathematics — 2025, Undergraduate

This study examined solution methods for linear differential equations arising in engineering problems. First- and second-order equations were solved using integrating factors, characteristic equations, and variation of parameters, and solutions were interpreted physically. The findings revealed that structured methods produced complete and verifiable solutions, with initial conditions determining particular responses. The study observed that physical interpretation aided identification of modelling errors. It recommends linking differential equation courses to engineering applications.

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