The correct answer is **homogeneous**.

### Explanation:
In the context of differential equations and linear algebra, a relation is said to be homogeneous if all terms are a multiple of the dependent variable or its derivatives. For example, if $ f(n) = 0 $, this indicates that the associated equation does not have any constant or non-zero terms that do not depend on the variable $ n $.

In contrast, a non-homogeneous relation would include terms that could be constant or do not depend on the variable. Likewise, a linear relation indicates that it can be expressed in a straight line form (typically $ y = mx + b $), while quadratic relates to functions of the form $ ax^2 + bx + c $.

Therefore, when $ f(n) = 0 $, we conclude that the relation is homogeneous, reflecting that it is solely reliant on the variable with no external influence.

Question

The correct answer is **homogeneous**.

### Explanation:
In the context of differential equations and linear algebra, a relation is said to be homogeneous if all terms are a multiple of the dependent variable or its derivatives. For example, if $ f(n) = 0 $, this indicates that the associated equation does not have any constant or non-zero terms that do not depend on the variable $ n $.

In contrast, a non-homogeneous relation would include terms that could be constant or do not depend on the variable. Likewise, a linear relation indicates that it can be expressed in a straight line form (typically $ y = mx + b $), while quadratic relates to functions of the form $ ax^2 + bx + c $.

Therefore, when $ f(n) = 0 $, we conclude that the relation is homogeneous, reflecting that it is solely reliant on the variable with no external influence.

Knowee AI · Accepted Answer

The correct answer is **homogeneous**.

### Explanation:
In the context of differential equations and linear algebra, a relation is said to be homogeneous if all terms are a multiple of the dependent variable or its derivatives. For example, if $ f(n) = 0 $, this indicates that the associated equation does not have any constant or non-zero terms that do not depend on the variable $ n $.

In contrast, a non-homogeneous relation would include terms that could be constant or do not depend on the variable. Likewise, a linear relation indicates that it can be expressed in a straight line form (typically $ y = mx + b $), while quadratic relates to functions of the form $ ax^2 + bx + c $.

Therefore, when $ f(n) = 0 $, we conclude that the relation is homogeneous, reflecting that it is solely reliant on the variable with no external influence.

If f(n) = 0, then the relation is also said to be ______________________.*1 pointlinearquadraticnon-homogenoushomogeneous

Question

If f(n) = 0, then the relation is also said to be ______________________.

Solution

Explanation:

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