Nonlinear Differential Equations: Show that the solution sets of the following nonlinear differential equations are not vector

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Nonlinear Differential Equations: Show that the solution sets of the following nonlinear differential equations are not vector spaces?
1. y' = y2
2. y" + sin y = 0
3. y" + 1 / y = 0
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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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