Determine whether Theorem 1.2.1 guarantees that the differential equation y' = (y 2 - 9) possesses a
Question:
1. (1, 4)
2. (5, 3)
3. (2, 3)
4. (1, 1)
Theorem 1.2.1
Let R be a rectangular region in the xy-plane defined by a ¤ x ¤ b, c ¤ y ¤ d that contains the point (x0, y0) in its interior. If f (x, y) and Ïf /Ïy are continuous on R, then there exists some interval I0: (x0 h, x0 + h), h > 0, contained in [a, b], and a unique function y(x), defined on I0, that is a solution of the initial value problem (2).
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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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