The standart form for a first order linear differential equation is given by

\(y'+p(x)y=q(x)\)

we have

\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={y}{x}{\left({x}+{1}\right)}\)

\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}-{x}{\left({x}+{1}\right)}{y}={0}\)

where \(\displaystyle{p}{\left({x}\right)}=-{x}{\left({x}+{1}\right)}\) and \(q(x)=0\)