What is the solution for x(dy)/(dx)+y=y^{-3} ?

The solution for x(dy)/(dx)+y=y^{-3} is y=(\sqrt[4]{-c_{1}+x^4})/x ,y=-(\sqrt[4]{-c_{1}+x^4})/x

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x(dy)/(dx)+y=y^{-3}

x \frac{d y}{d x} + y = y^{- 3}

Solution steps

x \frac{d y}{d x} + y = y^{- 3}

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\frac{d x}{d t} = 3 x + 4

\frac{d}{d x} (x^{2} + y^{2}) = 0

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What is the solution for x(dy)/(dx)+y=y^{-3} ?
The solution for x(dy)/(dx)+y=y^{-3} is y=(\sqrt[4]{-c_{1}+x^4})/x ,y=-(\sqrt[4]{-c_{1}+x^4})/x