Compute a Lipschitz constant K as in (3.7) $$f(t, y_2)-f(t, y_1)=K(y_2-y_1) \space\space (3.7)$$, and then show that the function f satisfies the Lipschitz condition in the region indicated:(adsbygoogle = window.adsbygoogle || []).push({});

$$f(t, y)=p(t)\cos{y}+q(t)\sin{y},\space {(t, y) | \space |t|\leq 100, |y|<\infty}$$ where p,q are continuous functions on $$-100\leq t \leq 100$$

I honestly have no idea how to even begin this. Other than the definition on Lipschitz continuity (f and df/dy are continuous on the region given) the book being used doesn't really talk about anything Lipschitz.

And just as disclaimer, this is *technically* homework however its nothing turned in or for a grade. Just something for practice.

Any help, especially with at least getting started, is much appreciated.

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# I Finding a Lipschitz Constant

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