Part CCSIR NET December 2023equilibria-trap-solutions

Equilibria trap solutions

Consider the problem $y^{'} = (1 - y^{2})^{10} cos y, y (0) = 0$ . Let J be the maximal interval of existence and K be the range of the solution. Which of the following statements are true?

A. $J = R$
B.K = (−1, 1)
C.J = (−1, 1)
D.K = [−1, 1]

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The trap it tests

Existence vs uniqueness

A theorem giving one was read as giving both.

Drill statements like this

Related counterexample: Every IVP has a unique solution

Equilibria trap solutions

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