Consider the boundary value problem u +4u = 0, 0 x , u(0) = 0,

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Consider the boundary value problem uʹʹ +4u = 0, 0 ≤ x ≤ π, u(0) = 0, u(π) = 0.
(a) Prove, without solving, that the set of solutions forms a vector space.
(b) Write this space as the span of one or more functions.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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