Solución

F(x,y)=(2x1+x2+2y2)i+(4y1+x2+2y2)j\bold{F}(x, y) = \bigg(\frac{2x}{1+x^2+2y^2}\bigg)\bold{i} + \bigg(\frac{4y}{1+x^2+2y^2}\bigg)\bold{j}