Hello again. I have a (stupid, but I'm not real sure about the answer-type) question. I'm trying to prove that the second order ODE of the simple pendulum y''=-(g/l)sin y is Lipschitz (using norm 1). After doing some evaluating, I came up with(adsbygoogle = window.adsbygoogle || []).push({});

[itex]

|u'-v'| + |\frac{g}{l}||\sin u - \sin v|

[/itex]

All I'm asking is if this is true for all values of u and v:

[itex]

|\sin u - \sin v| \leq |u - v|

[/itex]

All clarifications are appreciated.

Thanks,

Reli~

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# Homework Help: A little clarification on absolute values

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