Solve: `y dx + ( x - y^3) dy = 0`

Explanation

The given differential equation is
``
`{ydx}+({x}-{y}^{3}) {dy}=0`

`Rightarrow y frac{d x}{d y}+(x-y^{3})=0`

`Rightarrow y frac{d x}{d y}+x=y^{3}`

`Rightarrow frac{d x}{d y}+frac{x}{y}=y^{2}` ………… (i)

``
which is a linear differential equation

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