Find the general solution of: dy/dx=lnx/(xy+xy^3)
The Attempt at a Solution
In order to find the general solution, i rerrange the equation to:(y+y^3)dy=(lnx/x)dx,
then int(y+y^3)dy=int(lnx/x)dx, then i got 2(lnx)^2=2y^2+y^4. then i rerange y to the LHS and x to the RHS, but the answer looks strange.
Can anyone find where i did wrong?