xy'=e^yx* dy/dx=e^ydy/dx = e^y/xdy/e^y = dx/x∫dy/e^y = ∫dx/x∫e^-y dy = ∫dx/x -e^-y = ln|x| + Ce^-y= -ln|x| - C-y = ln(-ln|x|-C)y=-ln(-ln|x|-C)y = -ln(-ln|x|+C)