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Differential equations are written in several different notation, depending on the conventions of the discipline in which it is used. Here you can select the preferred notation, as illustrated with Laplace's Equation. Not all problems are available in all notations, but when the selected notation is available, it will be used.

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verbal $$ \mathrm{Laplace} $$
partial derivative    $$\frac{\partial^2u}{\partial x^2}+\frac{\partial^2u}{\partial y^2} = 0$$
subscript $$u_{xx}+u_{yy}=0$$
del $$ \nabla^2u=0 $$
delta $$ \Delta u=0 $$
div grad $$ \mathrm{div}(\mathrm{grad}~u)=0 $$
prime (1D only) $$ u''=0 $$

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Date created: May 16, 2013 | Last updated: August 20, 2015    Contact: William Mitchell, Home Page
Development status: Not Maintained