Ricatti Differential Equation

1. Jan 27, 2013

Ptopenny

1. The problem statement, all variables and given/known data
This is a Riccatti Equation which my answer is very weird after i solved it..
dy/dx+2y^2=(y/x lnx)+2(ln x)^2 where y=ln x is a particular solution

2. Relevant equations

3. The attempt at a solution

i first let y=ln x+ 1/w
and dy/dx=1/x-1/w^2
and substitute y and dy/dx into it place and form a ricatti equation, transforming it into bernoulli and linear equation... but the integrating factor is very very long and complicated...