Explain why the functions cos x, sin x form an orthogonal basis for the space of solutions

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Explain why the functions cos x, sin x form an orthogonal basis for the space of solutions to the differential equation y" + y = 0 under the L2 inner product on [- π, π].

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:47 AM

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Explain why the functions cos x, sin x form an orthogonal basis for the space of solutions

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Since sin x cos x dx 0 the functions cos x a...View the full answer

Applied Linear Algebra

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