Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 9 - Review - True-False Quiz - Page 634: 3


$\bf False$.

Work Step by Step

$\bf False$. For this equation to be separable, we would have to be able to write $x+y$ from the equation $y'=x+y$ in the form of $f(x)g(y)$, where $f(x)$ is a function of $x$ only and $g(y)$ is a function of $y$ only. Since this is impossible to write, the statement is false.
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