(a) Explain why the interval of denition of the explicit solution y = 2 (x) of...
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(a) Explain why the interval of denition of the explicit solution y = φ2(x) of the initial-value problem in Example 2 is the open interval (25, 5).
(b) Can any solution of the differential equation‑cross the x-axis? Do you think that x2 + y2 = 1 is an implicit solution of the initial-value problem dy/dx = 2x/y, y(1) = 0?
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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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