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Cauchy–Euler equation
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{{short description|Ordinary differential equation}} In [[mathematics]], an '''Euler–Cauchy equation''', or '''Cauchy–Euler equation''', or simply '''Euler's equation''', is a [[linear differential equation|linear]] [[homogeneous differential equation|homogeneous]] [[ordinary differential equation]] with [[variable coefficient]]s. It is sometimes referred to as an ''[[equidimensionality|equidimensional]]'' equation. Because of its particularly simple equidimensional structure, the differential equation can be solved explicitly.
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