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