(a) Explain why the differential operator L = D Ma D obtained by composing the...

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(a) Explain why the differential operator L = D ○ Ma ○ D obtained by composing the linear operators of differentiation D[f(x)] = f′(x) and multiplication Ma[f(x)] = a(x) f(x) by a fixed function a(x) defines a linear operator.
(b) Re-express L as a linear differential operator of the form (7.14).
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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