I have a system of equations here:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{d\theta}{dt} = u-(\frac{1}{u})cos(\theta)[/tex]

[tex]\frac{du}{dt} = -sin(\theta)[/tex]

It asks to show that [tex]C(\theta,u) = u^3-3ucos(\theta)[/tex]. That's fine, if it worked. From looking at it and taking the partial derivatives, it doesn't seem to be a conserved quantity. Any ideas, or am I missing something?

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# Conserved quantity

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