Math 2.0

concept

Homogeneous first-order equation

Summary

A homogeneous first-order equation is an equation y′=F(y/x)y' = F(y/x), in which the slope depends only on the ratio y/xy/x. The substitution y=xvy = x v changes it into a separable equation. See the definition.

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Sources

  1. Web https://en.wikipedia.org/wiki/Homogeneous_differential_equation, lead section

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Definitions