(a) Consider the direction field of the differential equation dy/dx = x(y - 4) 2 - 2,...

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(a) Consider the direction field of the differential equation dy/dx = x(y - 4)² - 2, but do not use technology to obtain it. Describe the slopes of the lineal elements on the lines x = 0, y = 3, y = 4, and y = 5.

(b) Consider the IVP dy/dx = x(y - 4)² - 2, y(0) = y₀, where y₀ < 4. Can a solution y(x) → ∞? Based on the information in part (a), discuss.

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jun 29, 2018 06:41 AM

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(a) Consider the direction field of the differential equation dy/dx = x(y - 4) 2 - 2,...

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a When x 0 or y 4 dydx 2 so the lineal elements have slope 2 When y 3 or y 5 dydx ...View the full answer

A First Course in Differential Equations with Modeling Applications

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