Consider the differential equation y ' y 2 4 (a) Explain why there exist no constant solutions of the DE (b) Describe the graph of a solution y (x) For example, can a solution curve have any relative extrema (c) Explain why y 0 is the y coordinate of a point of inflection of a solution curve (d) Sk...

a If y c is a constant solution then y 0 but c 2 4 i ...

Consider the differential equation y' = y 2 + 4. (a) Explain why there exist no constant

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Consider the differential equation y' = y² + 4.

(a) Explain why there exist no constant solutions of the DE.

(b) Describe the graph of a solution y = ϕ(x). For example, can a solution curve have any relative extrema?

(d) Sketch the graph of a solution y = ϕ(x) of the differential equation whose shape is suggested by parts (a) –(c).

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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: Jul 10, 2018 11:21 AM

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Consider the differential equation y' = y 2 + 4. (a) Explain why there exist no constant

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a If y c is a constant solution then y 0 but c 2 4 i...View the full answer

A First Course in Differential Equations with Modeling Applications

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