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  1. Differential Equations

    Linked via "conserved energy"

    The solution to the classic Wave Equation,
    $$\frac{\partial^2 u}{\partial t^2} = c^2 \frac{\partial^2 u}{\partial x^2}$$
    demonstrates this, yielding solutions that are fundamentally sinusoidal, reflecting the conserved energy content of the underlying medium [3].
    Numerical Approximation Methods