Question

diffy q help exact equations!
(e^xsiny-3x^2)dx+(e^xcosy+y^(-2/3)/3)dy=0
please its been 40 min :(

Answer 1

\[(e^xsiny-3x^2)dx+(e^xcosy+y^(-2/3)/3)dy=0\]

Answer 2

I get
\[M=(e^xsiny-3x^2)dx and N=(e^xcosy+y^-2/3/3)dy\]
then
\[f(x,y)=\int\limits(e^xsiny-3x^2)dx\]
which could be possibly wrong integration but
\[f(x,y)=e^xsiny-x^3+g(y)\]

Answer 3

integration with respect to x