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Differential equation that contains unknown multivariable functions and their partial derivatives


A typical example is diffusion equation for a function

LaTeX Math Inline
bodyp(t, x, y, z)
 or 4 variables:

LaTeX Math Block
alignmentleft
\frac{\partial p}{\partial t} = \frac{\partial^2 p}{\partial x^2} +  \frac{\partial^2 p}{\partial y^2} +  \frac{\partial^2 p}{\partial z^2}



See also

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Formal science / Mathematics