Find the equation to the curve satisfying `x(x+1)(dy)/(dx)-y=x(x+1)` and passing through `(1,0)dot`

Explanation

We have,
`

x(x+1) frac{d y}{d x}-y=x(x+1) `
`
Rightarrow frac{d y}{d x}-frac{y}{x(x+1)}=1`


Comparing with` frac{d y}{d x}+P y=Q, `we get
`

P=-frac{1}{x(x+1)} `
`
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