Lagrange Equation

The Lagrange functions is defined as $\mathcal{L}(q,\dot{q})=T(q,\dot{q})-V(q)\in \mathbb{R}$ Where $T(q,\dot{q})$ is the Kinetic Energy, and $V(q)$ is the Potential Energy.

The Euler-Lagrange Equation is given by

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