The functions y(x) = 1/16 x 4 , - < x < and have the same domain
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have the same domain but are clearly different. See the following figure (a) and (b), respectively. Show that both functions are solutions of the initial-value problem dy/dx = xy1/2, y(2) = 1 on the interval (,). Resolve the apparent contradiction between this fact and the last sentence in Example 5.
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(0, Ус) y. y. (2, 1) (2, 1) х х (a) (b)
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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