Answer
$y’=(-5-\frac{1}{x})y$
Work Step by Step
$lnxy+5x=30$
$\frac{y+xy’}{xy}+5=0$
$\frac{y}{xy}+\frac{xy’}{xy}=-5$
$\frac{1}{x}+\frac{y’}{y}=-5$
$\frac{y’}{y}=-5-\frac{1}{x}$
$y’=(-5-\frac{1}{x})y$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.1 Exercises - Page 326: 74
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