Definition:Linearly Independent Real Functions
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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
Sources
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $\S 3.15$: The General Solution of the Homogeneous Equation