Differential Equations

Let $y(x)$ be the solution of the differential equation

\(x^2 \frac{d y}{d x}+x y=x^2+y^2, \quad x>\frac{1}{e}\)

satisfying $y(1)=0$. Then the value of $2 \frac{(y(e))^2}{y\left(e^2\right)}$ is ____________.