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Describe the orbits of $\frac{{\rm d}r}{{\rm d}t}=r(r-2)(r-4),$ where $(r,t)$ is the usual polar co-ordinates.

Can we do solve this problem without integration? What is meant by 'describe' here? I am trying to use the Cantor-Bendixon Theorem , but I cannot really solve it.

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    Maybe this helps: [W|A](http://tinyurl.com/c9ck9cf)...2012-09-05

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