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MathxMatrix on Instagram: "The Euler–Lagrange equation is a cornerstone of classical mechanics and the calculus of variations. It tells us how to find the path or trajectory that a system will naturally follow—based on minimizing or extremizing a quantity called the action. This equation essentially replaces Newton’s laws in a more elegant, generalized form. Instead of forces, it uses energy principles to derive motion. Original creation by #Physwithelliot on Yt. #eulerlagrange #euler #quantum #

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MathxMatrix on Instagram: "The Euler–Lagrange equation is a cornerstone of classical mechanics and the calculus of variations. It tells us how to find the path or trajectory that a

The Euler-Lagrange equation is a fundamental principle in classical mechanics that helps us find the path or trajectory a system will naturally follow. By minimizing or extremizing the action, this equation replaces Newton's laws in a more elegant and generalized form. In this video, we explore how the Euler-Lagrange equation uses energy ...

153.1K views1 month ago

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