What Does Homogeneous Equation Mean?

What Does Homogeneous Equation Mean? Definition of Homogeneous Differential Equation A first order differential equation. dydx=f(x,y) is called homogeneous equation, if the right side satisfies the condition. f(tx,ty)=f(x,y) for all t. What is the difference between ordinary differential equation and homogeneous differential equation? ODE= ordinary differential equation: a differential equation whose unknown function depends on