### Evaluation of Differential Equations with Applications to Engineering Problems

#### Abstract

Several methods for solving ordinary differential equations (ODE) and partial differential equations (PDE) have been developed over the last century. Though the majority of the methods are only useful for academic purposes, some are critical in the solution of real-world problems arising from science and engineering. Only a subset of the available methods for solving (ODE) and (PDE) are discussed in this paper, as it is impossible to cover all of them in a book. Readers are then encouraged to conduct additional research on this topic if necessary. Afterward, the readers are made known to two major numerical methods commonly used by the engineers for the solution of real-life engineering problems.

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