But what is a partial differential equation? Differential Equations - Part 2 of 5

The video tutorial explores the heat equation, a type of partial differential equation (PDE), and its applications in various fields such as physics and finance. It introduces the concept of Fourier series and its connection to heat flow, explaining how rotating vectors can approximate any curve. The tutorial delves into the mathematical intricacies of the heat equation, including partial derivatives and the transition from discrete to continuous models. It emphasizes the importance of understanding second derivatives and compares PDEs with ordinary differential equations (ODEs). The video aims to build a foundational understanding of these mathematical concepts.

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