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

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

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(dy)/(dx)= y/x-(x^2)/(y^2)

\frac{d y}{d x} = \frac{y}{x} - \frac{x ^{2}}{y ^{2}}

Solution steps

\frac{d y}{d x} = \frac{y}{x} - \frac{x ^{2}}{y ^{2}}

Solve Bernoulli ODE:

x \to 0 + lim (\frac{ln ( x )}{x ^{2}})

\frac{d y}{d t} = 5 y + y^{5}

x - \frac{1}{3 x ^{3}}

y = x^{2} - 2 x - 3

\frac{d y}{d x} = \frac{x y}{8}

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