If `y+d/(dx)(x y)=x(sinx+logx),fin dy(x)dot`

Explanation

The given differential equation can be written as
``
`x frac{d y}{d x}+2 y=x(sin x+log x)`

`rightarrow quad frac{d y}{d x}+frac{2}{x} cdot y=sin x+log x`

``
which is linear in y i.e. of the type `frac{d y}{d x}+P y=Q`

Hence `P=frac{2}{x}`

``
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