# Heat equation

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${\displaystyle {\frac {\partial u}{\partial t}}=k\Delta u}$
where ${\displaystyle \Delta }$ denotes the Laplacian. When there is only one spatial dimension being considered, the heat equation takes the form
${\displaystyle {\frac {\partial u}{\partial t}}=k{\frac {\partial ^{2}u}{\partial x^{2}}}}$