Originally Posted by

**steph3824** Determine whether the equation is exact. If it is exact, then solve the equation.

$\displaystyle ((y/x) +6x)dx+(lnx-2)dy=0

$

My books answer key says that this equation is exact, but I don't see how. Your $\displaystyle M=(y/x)+6x$ and your $\displaystyle N=lnx-2$.

So taking the partial derivative $\displaystyle M_y=(1/x)+6x $and $\displaystyle N_x=1/x$.

I am pretty sure this is correct, so how is it possible that the equation is exact if the two partial derivatives are not equal?