Cauchy–Euler equation
In mathematics, an Euler–Cauchy equation, or Cauchy–Euler equation, or simply Euler's equation is a linear homogeneous ordinary differential equation with variable coefficients. It is sometimes referred to as an equidimensional equation. Because of its particularly simple equidimensional structure, the differential equation can be solved explicitly.
Cauchy–Euler equation - Wikipedia Jump to content From Wikipedia, the free encyclopedia Ordinary differential equation In mathematics , an Euler–Cauchy equation , also known as a Cauchy–Euler equation , equidimensional equation , or Euler's equation , is a linear ordinary differential equation for which the homogeneous part is invariant under changes to the scale of its independent variable . Euler was the first we know of to study equations of this form in the early 1700's, with a notable appearance in Institutiones calculi integralis , volume 2 in 1768. The equation [ edit ] Let y ( n ) ( x
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