How do i find the Lipschitz constant for the function:
y' = 5 - sin(y), 5 ≤ x ≤ 9, y(0) = 0.95
Not sure how to approach this so any help would be really appreciated! Thank you!
Find a Lipschitz constant for the function 5 - sin(y)
1
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analysis
ordinary-differential-equations
numerical-methods
lipschitz-functions
initial-value-problems
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0you should use $$f(x_2,y)-f(x_1,y)$$ or $$f(x,y_2)-f(x,y_1)$$ – 2017-02-28
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0Since $y'(x) \le 3$ for any $x$, I would say that $3$ is a Lipschitz constant for $y$. – 2017-02-28