Solve `(xlogx) (dy)/(dx) =y`

Solve: (x+y)(dy)/(dx)=1

Solve: (x-y)(dy)/(dx)=x+3y

Solve (dy)/(dx)=4y

Solve: (x-y)^2(dy)/(dx)=1

Solve e^(-x+y)(dy)/(dx)=1

Solve: (secx)(dy)/(dx)=y+sinx

Solve: (x-y)^2(dy)/(dx)=a^2

Solve x^(2)((dy)/(dx))+y=1

Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)+y=2xlogx, (xge1) , Then y(e) is equal to