Answer
$y = (\frac{0.5 x^{2} + C} {2})^{2}$
Work Step by Step
$\frac{dy}{dx} = x \sqrt y $
$\frac{dy} {\sqrt y} = x dx $
$\int \frac{dy} {\sqrt y} = \int x dx $
$2 \sqrt y = 0.5 x^{2} + C$
$y = (\frac{0.5 x^{2} + C} {2})^{2}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 9 - Differential Equations - 9.3 Separable Equations - 9.3 Exercises - Page 645: 2
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