#### Answer

$\frac{dy}{dx}=\frac{5-2y^{-\frac{1}{2}}}{x\frac{-1}{2}}$

#### Work Step by Step

$2\sqrt x +4\sqrt y=5y$
$x^{\frac{-1}{2}}+ 2(y^{\frac{-1}{2}}) \frac{dy}{dx}= 5\frac{dy}{dx}$
$\frac{dy}{dx}=\frac{5-2y^{-\frac{1}{2}}}{x\frac{-1}{2}}$

Published by
Pearson

ISBN 10:
0321749006

ISBN 13:
978-0-32174-900-0

$\frac{dy}{dx}=\frac{5-2y^{-\frac{1}{2}}}{x\frac{-1}{2}}$

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