Chapter 6 - Differential Equations - 6.2 Exercises - Page 412: 6

$y^2 = -\frac{1}{3}x^{\frac{3}{2}} +C$

$\frac{dy}{dx}= -\frac{\sqrt x}{4y}$, separate the variables Integrate $ \int 4ydy = -\int \sqrt x dx$ $ 2y^2 = -\frac{2}{3} x^{\frac{3}{2}} +C$ divide by two $y^2 = -\frac{1}{3} x^{\frac{3}{2}} +C$