# How to create animated plot of curve depending on parameter in WolframAlpha?

Is it possible to create in WolframAlpha an animated plot of a curve given by an equation, where some of the coefficients depend on the parameter (=on time)?

For example if I would like to have a plot $x^2+2xy+3y^2+x+y=t$, which would show for each $t$ one of concentric ellipses and from the plot we could see how the curve changes when $t$ is changed. (The parameter $t$ stands for time.) Or a plot of $x^2+2xy-3y^2+x-y=t$, which could illustrate evolution of a family of hyperbolas.

Or is something like this possible only if I subscribe to the Pro version?

• Maybe I should mention that according to this discussion on meta, questions about WA are on-topic on this iste. – Martin Sleziak May 18 '15 at 7:30
• Even if it is on-topic, I guess that you will get better help on the Mathematica SE site for this kind of question. – mickep May 18 '15 at 9:17
• @mickep From what I read here and here it seems that questions like this would be closed as off-topic on that site. – Martin Sleziak May 18 '15 at 9:25
• OK, I see. That's a pity. Good luck in finding a way (I was not able to, while trying a bit). – mickep May 18 '15 at 10:29
• According to what I was told in chat, it is not possible to create animations in WA. (At least not with the free version.) – Martin Sleziak May 18 '15 at 11:23

ListAnimate[Table[WolframAlpha[StringJoin["contour plot x^2+2xy+3y^2+x+y==", ToString[t]]], {t,0,5,1}]]
This shows a plot for each of the values $t=0,1,2,3,4,5$.