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In this chapter, the basic and advanced problems of partial differential equations are presented. The subjects include determining the type of partial differential equations, updating partial differential equations by new variables, solving partial differential equations by using the techniques used in solving ordinary differential equations, solving partial differential equations by using their characteristics equations, solving partial differential equations by using variables separation method, solving partial differential equations by Laplace transform, and solving partial differential equations in a steady-state condition. Herein, different types of problems and exercises are presented that are categorized as follows:

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Partial Differential Equations: Problems

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  • 发表日期：

    2025年

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  • Mehdi Rahmani-Andebili

摘要

In this chapter, the basic and advanced problems of partial differential equations are presented. The subjects include determining the type of partial differential equations, updating partial differential equations by new variables, solving partial differential equations by using the techniques used in solving ordinary differential equations, solving partial differential equations by using their characteristics equations, solving partial differential equations by using variables separation method, solving partial differential equations by Laplace transform, and solving partial differential equations in a steady-state condition. Herein, different types of problems and exercises are presented that are categorized as follows: