noun which may take the genitive case particle 'no'
Mathematical term used to describe functions, equations, or expressions where all terms have the same degree or scaling property.
A homogeneous function is one where multiplying the variables by a constant multiplies the function value by a power of that constant.
Since this differential equation is homogeneous, it can be solved by separation of variables.
The kanji 斉 means 'equal' or 'uniform', and 次 refers to 'order' or 'degree', together conveying the idea of uniform degree. The exact historical derivation is uncertain, but the term is used in mathematical contexts.