Orthogonal and Orthonormal functions Example 1

Introduction: In this example , we will prove that a set of functions is an Orthogonal and Orthonormal functions. Question: Prove that following functions \[f_n (x) = \sqrt {\frac{2}{l}} \sin \left( \frac{n\pi x}{l} \right), 0 \le x \le l\]are Orthogonal…

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