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