Consider the following equations
$\frac {\partial {V(x,y)}}{\partial x}$ = px$^2$ + y$^2$ + 2xy
$\frac {\partial {V(x,y)}}{\partial y}$ = x$^2$ + qy$^2$ + 2xy
where p and q are constant ,V(x,y) that satisfies the above equations is
- p$\frac{x^3}{3}$ + q$\frac{y^3}{3}$ + 2xy + 6
- p$\frac{x^3}{3}$ + q$\frac{y^3}{3}$ + 5
- p$\frac{x^3}{3}$ + q$\frac{y^3}{3}$ + x$^2$y + xy$^2$ + xy
- p$\frac{x^3}{3}$ + q$\frac{y^3}{3}$ + x$^2$y + xy$^2$