Consider the following equations\(\frac{{\partial V\left( {x,y} \right)}}{{\partial x}} = p{x^2} + {y^2} + 2xy\)\(\frac{{\partial V\left( {x,y} \right)}}{{\partial y}} = {x^2} + q{y^2} + 2xy\)Where p and q are constants. V (x, y) that satisfies the above equations is

• A. \(p\frac{{{x^3}}}{3} + q\frac{{{y^3}}}{3} + 2xy + 6\)
• B. \(p\frac{{{x^3}}}{3} + q\frac{{{y^3}}}{3} + 5\)
• C. \(p\frac{{{x^3}}}{3} + q\frac{{{y^3}}}{3} + {x^2}y + x{y^2} + xy\)
• D. \(p\frac{{{x^3}}}{3} + q\frac{{{y^3}}}{3} + {x^2}y + x{y^2}\)