Question

solve y lnx lny dx + dy =0

Answer 1

\[\Large y lnx\ lny dx + dy =0\]
\[\Large y lnx\ lny dx = -dy\]
\[\Large lnx dx = \frac{-dy}{y \ln y}\]
Integrate both sides
\[\Large xlnx-x+c = \ln(\ln y)+C\]
\[\Huge x \ln x =\ln (\ln y)+x+K\]

Answer 2

oops it would be - ln (lny) forgot the negative sign :)

Answer 3

thanks i m so glad we have the same answer :D

Answer 4

:)