Consider the differential equation y' = y 2 + 4. (a) Explain why there exist no constant
Question:
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?
(c) Explain why y = 0 is the y-coordinate of a point of inflection of a solution curve
(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 If y c is a constant solution then y 0 but c 2 4 i...View the full answer
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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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