I want to plot the solution of a differential equation in a widget which lets me select an initial point of space and let it evolve according to the equation using an slider.

My code looks like this:

f[x_,y_]:=x-y+(x*y-x^3-x*y^2)/Sqrt[x^2 + y^2] g[x_,y_]:=x+y-(x^2+x^2*y+y^3)/Sqrt[x^2 + y^2]  Manipulate[    Module[{sol =      NDSolve[{x'[t]==f[x[t],y[t]],y'[t] == g[x[t],y[t]], x[0] == p[[1]],      y[0] == p[[2]]}, t,{y,0,T}, {x, 0, T}]},     ParametricPlot[Evaluate[{x[t], y[t]} /. sol], {t, 0, T},      PlotRange -> {{-4, 4}, {-3, 3}}]],     {{p, {2, 1}}, Locator}, {{T, 10}, 0, 100}] 

But while the slider is being shown, it does not behave correctly (the trajectory of each point is not being shown).

What is going on? How do I fix it?