What makes a differential equation homogeneous

However, there is also another entirely different meaning for a first-order ordinary differential equation. Such an equation is said to be homogeneous if it can be written in the form. Such equations can be solved in closed form by the change of variables which transforms the equation into the separable equation. Portions of this entry contributed by John Cook. Boyce, W. New York: Wiley, pp.

Cook, John and Weisstein, Eric W. Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. Walk through homework problems step-by-step from beginning to end. Create a free Team What is Teams? Learn more. What is a homogeneous Differential Equation? Ask Question. Asked 5 years, 10 months ago. Active 3 years, 9 months ago. Viewed 7k times. Luke Collins Luke Collins 7, 1 1 gold badge 12 12 silver badges 38 38 bronze badges.

Add a comment. Active Oldest Votes. Double Homogeneity Ibid. Type 1: Uniform Homogeneity Ibid. Community Bot 1. Geremia Geremia 2, 9 9 silver badges 24 24 bronze badges. Create a free Team What is Teams? Learn more. How to tell if a differential equation is homogeneous, or inhomogeneous?

Ask Question. Asked 9 years, 10 months ago. Active 1 month ago. Viewed k times. Is there a way to see directly that a differential equation is not homogeneous? Please, do tell me. Yiorgos S. Smyrlis Add a comment. Active Oldest Votes.

Paul Paul Cleared up a bit for sure! Thank you. Smyrlis Yiorgos S. Is it only for linear equations?