Question: How to animate a trajectory of a solution curve in a 2d phase portrait

Hi,

I would like to animate the solution to

x'(t)=y(t)

y'(t)= -4x(t)

 

that passes through x(0)=2, y(0)=1 as it orbits (0,0). I need to include the phaseportrait as the background. Any ideas on how to accomplish this?

 

Thanks!

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