homogeneous: Meaning and Definition of

ho•mo•ge•ne•ous

1. composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population.
2. of the same kind or nature; essentially alike.
3. a homogeneous solid figure.
1. having a common property throughout:a homogeneous solid figure.
2. having all terms of the same degree:a homogeneous equation.
3. relating to a function of several variables that becomes multiplied by some power of a constant when each variable is multiplied by that constant: x2y3 is a homogeneous expression of degree 5.
4. relating to a differential equation in which a linear combination of derivatives is set equal to zero.