Differential Equations

If \(y = y(x)\) is the solution of the differential equation

\(x{{dy} \over {dx}} + 2y = x\,{e^x}\), \(y(1) = 0\) then the local maximum value

of the function \(z(x) = {x^2}y(x) - {e^x},\,x \in R\) is :