In the context of Dimensional Analysis, a homogeneous equation is one that has homogeneous (the same) dimensions for all components that add together.
All components of an equation that add together must have the same units. For example, before a force of 10 lb can be added to a force of 10 Newton, the forces must be converted to a single force unit. An equation is homogeneous when all parts of an equation that add together have the same dimensions.
Learn the definition of a homogeneous equation in the context of dimensional analysis.
Learn how to ensure that an equation has homogeneous dimensions.