<p><strong>adjective</strong></p><ul><li>Composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population.</li><li>Synonyms: unvarying, identical, similar, alike, unmixed of the same kind or nature; essentially alike.</li><li>Mathematics:<ul><li>Having a common property throughout: a homogeneous solid figure.</li><li>Having all terms of the same degree: a homogeneous equation.</li><li>Relating to a function of several variables that becomes multiplied by some power of a constant when each variable is multiplied by that constant: x² + y³ is a homogeneous expression of degree 5.</li><li>Relating to a differential equation in which a linear combination of derivatives is set equal to zero.</li></ul></li></ul><p><strong>End of Response</strong></p>