What is the solution for x*(dy)/(dx)= 1/(y^2)+y ?

The solution for x*(dy)/(dx)= 1/(y^2)+y is y=\sqrt[3]{c_{1}x^3-1}

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x*(dy)/(dx)= 1/(y^2)+y

x \cdot \frac{d y}{d x} = \frac{1}{y ^{2}} + y

y = 3 c_{1} x^{3} - 1

Solution steps

x \cdot \frac{d y}{d x} = \frac{1}{y ^{2}} + y

Solve separable ODE:

y = 3 c_{1} x^{3} - 1

y = 3 c_{1} x^{3} - 1

n = 1 \sum \infty \frac{1}{n ^{2} + 5 n + 6}

\frac{d}{d x} (4 + ln (x))

y^{^{'}} = y (x y^{6} + 1)

\int_{0}^{17} 2 π x (17 x - x^{2}) d x

x \to a lim (\frac{sec ( x ) - sec ( a )}{x - a})

What is the solution for x*(dy)/(dx)= 1/(y^2)+y ?
The solution for x*(dy)/(dx)= 1/(y^2)+y is y=\sqrt[3]{c_{1}x^3-1}