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## Homework Statement

Find the general solution of: dy/dx=lnx/(xy+xy^3)

## Homework Equations

## 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?