Partial differential equations {Hamilton-Jacobi equation} can represent potential energy plus kinetic energy equals total energy. Sum of second partial derivatives of potential with respect to each coordinate and partial derivative of potential with respect to time equals zero: (D^2)V / Dx + (D^2)V / Dy + (D^2)V / Dz - DV / Dt = 0, where V is potential, (D^2) is second partial derivative, D is partial derivative, and x, y, z, and t are coordinates.
Mathematical Sciences>Calculus>Differential Equation>Kinds>Partial>Potential
3-Calculus-Differential Equation-Kinds-Partial-Potential
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Date Modified: 2022.0224