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Partial differential equations (PDEs) play a vital role in mathematics and its applications. They can be used to model real-world phenomena such as the vibrations of a stretched string, the flow of heat in a bar, or the change in values of financial options. This post will give you a brief glimpse into the fascinating world of PDEs using the improvements for boundary value problems in DSolve and the new DEigensystem function in Version 10.3 of the Wolfram Language.