Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 9 - Differential Equations - Review - Concept Check - Page 674: 2


See explanation below

Work Step by Step

The equation shows us that the slope of a solution curve at all points is $x^2+y^2$. Since this is always non-negative and since it is 0 only at (0,0) there is a horizontal tangent there and only there and elsewhere the graph is strictly increasing.
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