An operator is linear if it satisfies the two linear properties (3) and (4): otherwise, it is

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An operator is linear if it satisfies the two linear properties (3) and (4): otherwise, it is nonlinear. Which of the following differential operators are linear and which are nonlinear?
a. L(y) = y' + 2y
b. L(y) = y' + y2

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 05:54 AM

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An operator is linear if it satisfies the two linear properties (3) and (4): otherwise, it is

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a Ly y 2y Suppose y 1 y 2 and y are functions of t and c is any constant Then Hence L ...View the full answer

Differential Equations and Linear Algebra

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