What is a partial differential equation (PDE)?

A partial differential equation (PDE) is a mathematical equation that involves multiple independent variables and their partial derivatives. These equations are used to describe a wide range of physical phenomena in fields such as physics, engineering, and economics. PDEs are often more complex than ordinary differential equations due to their multiple variables and partial derivatives, making them a powerful tool for modeling and understanding complex systems. Solutions to PDEs can provide valuable insights into the behavior of systems and are essential for predicting and analyzing various phenomena in science and engineering.

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