Definition:Linearly Independent Real Functions

Definition

Let $\map f x$ and $\map g x$ be real functions defined on a closed interval $\closedint a b$.

Let $f$ and $g$ be such that they are not linearly dependent.

Then $f$ and $g$ are linearly independent.

Also see

• Definition:Linearly Dependent Real Functions

Sources

• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $\S 3.15$: The General Solution of the Homogeneous Equation