y dx + x ln x dy = 0 ; x > 0

my integrating factor is x..

so.. multiply with DE,

xy dx + x^2 ln x dy = 0

let M = xy ; N = x^2 ln x

dM/dy = x ; dN/dx = x + 2x ln x

the problem is.. i didn't get the exact equation after multiply the integrating factor.. i've double checked my integrating factor.. but.. still can't get the exact equation...