how would one go about finding the direction of oscillation for a differntial equation?(adsbygoogle = window.adsbygoogle || []).push({});

for example [tex] \frac{d^2 y}{dt^2} = -2y [/tex]

has eigenvalues [itex] \pm \sqrt{2}i [/itex]

and the corresponding matrix is [tex] \left(\begin{array}{cc}0&2\\-2&0\end{array}\right) [/tex] so the solution curves will form closed loops around the origin. But what about the direction -i.e. counter clockwise or clockwise, how would one go about figuring this out??

please help!!! I have an exam tomorrow on this stuff and this is where i am snagged!

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# Homework Help: Direction of oscillations

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