(adsbygoogle = window.adsbygoogle || []).push({}); x'' = y; y'' = -x?

I'm working on vector fields and I've got these two equations; no teacher in my highschool knows what to do from here.

initial conditions:

t = 0

x, y = 0, 1 (the initial position)

dx/dt = 0

dy/dt = 0

[itex]\frac{d^2x}{dt^2} = y[/itex]

[itex]\frac{d^2y}{dt^2} = -x[/itex]

How do I solve this?

Thanks a bundle :)

-Unit

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# Dx/dt = y; dy/dt = x?

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