Show that the systems of linear differential equation given in problems a to b are linear transformations,

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Show that the systems of linear differential equation given in problems a to b are linear transformations, where x = x(t) and y = y(t) 19 are linear ε C1 (I).
a. T(x. y) = (x' - y, 2x + y')
b. T(x. y) = (x + y', y -2x + y')

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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 06:07 AM

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Show that the systems of linear differential equation given in problems a to b are linear transformations,

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Differential Equations and Linear Algebra

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