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

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

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

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

Solution steps

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

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