Google Classroom
GeoGebraGeoGebra Classroom

Homogeneous DE Solver

A differential equation f(x,y) is said to be homogeneous if f(x,y) = g(y/x). This GeoGebra applet solves shows how to solve a homogeneous DE. It also provides visualization of solution on the slope field of the DE. Use Refresh button several times to 1. Ascertain the equation is homogeneous. Do not proceed further unless the check box for homogeneous function is automatically checked off. 2. Generate graph of a solution of the DE on the slope field in Graphic View 2. 3. Use slider to show the solution step by step if the DE is indeed homogeneous. It is clear that it may not be possible to obtain algebraic solution of a homogeneous DE. For more on simple differential equation check my online book "Flipped Classroom Calculus of Single Variable"