General solution of calculus equation x * dy / DX = ylny / X

General solution of calculus equation x * dy / DX = ylny / X

If y = 1, the original equation holds
If y ≠ 1, then dy / (ylny) = DX / x ^ 2
Integral on both sides: ln | LNY | = - 1 / x + C
|lny|=e^(-1/x+C)
lny=±e^(-1/x+C)
y=e^(±e^(-1/x+C))