Homogeneous and Heterogeneous Linear ODES
pruffle.mit.edu/3.016-2005/Lecture_20_web/node3.htmlIf , Eq. 20-15 is said to be a homogeneous linear first-order ODE; otherwise Eq. 20-15 is a heterogeneous linear first-order ODE.. The reason that the homogeneous equation is linear is because solutions can superimposed--that is, if and are solutions to Eq. 20-15, then is also a solution to Eq. 20-15.This is the case if the first derivative and the function are themselves linear.