Math Vector

Let us study what is meant by Vector in math,

Vector space model (or vector model) is an algebraic model for representing text documents (and any objects, in general) as vectors of identifiers, such as, for example, index terms.

It is used in information filtering, information retrieval, indexing and relevancy rankings. Its first use was in the SMART Information Retrieval System.

I hope the above explanation was useful, now let me explain about homogeneous differential equations and differential algebraic equation.