Consider the differential equation dy/dx = e -x . (a) Explain why a solution of the DE

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Consider the differential equation dy/dx = e^-x.

(a) Explain why a solution of the DE must be an increasing function on any interval of the x- axis.

(b) What are

What does this suggest about a solution curve as x †’ ± ˆž

(c) Determine an interval over which a solution curve is concave down and an interval over which the curve is concave up.

(d) Sketch the graph of a solution y = Ï•(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 11:20 AM

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Consider the differential equation dy/dx = e -x . (a) Explain why a solution of the DE

Question:

lim dy/dx and lim dy/dx

Step by Step Answer:

a Since e x2 is positive for all values of x dydx 0 ...View the full answer

A First Course in Differential Equations with Modeling Applications

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