Example of a Conservative Vector Field
> with(plots):
> P:=y^2+3*y*exp(3*x);
> Q:=1+2*x*y+exp(3*x);
> fieldplot([P,Q],x=-1..0,y=-2..2,color=blue,grid=[10,10]);
> fieldplot([P,Q],x=0..1,y=-2..2,color=blue,grid=[10,10]);
>