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Explore the fundamental concepts of partial differential equations in this 26-minute video lecture. Gain insights into the mathematical language used to describe physical phenomena that vary in space and time, such as gravitation, electromagnetism, and fluid dynamics. Begin with an overview of partial differential equations, then delve into canonical PDEs and linear superposition. Conclude by examining nonlinear PDEs, focusing on the Burgers equation. This comprehensive overview provides a solid foundation for understanding the mathematical principles governing complex physical systems.
