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Consider the Initial Value Problem

on Which of These (0,2π) (0,2 \pi)

Question 20

Multiple Choice

Consider the initial value problem
 Consider the initial value problem   On which of these intervals is this initial value problem certain to have a unique twice differentiable solution? Select all that apply. A)    (0,2 \pi)    B)    (-2 \pi, 2 \pi)    C)    (0, \infty)    D)    \left(\frac{\pi}{12}, \frac{5 \pi}{4}\right)    E)    \left(0, \frac{\pi}{12}\right)    F)    \left(-\frac{5 \pi}{4}, \frac{5 \pi}{8}\right)
On which of these intervals is this initial value problem certain to have a unique twice differentiable solution? Select all that apply.


A) (0,2π) (0,2 \pi)
B) (2π,2π) (-2 \pi, 2 \pi)
C) (0,) (0, \infty)
D) (π12,5π4) \left(\frac{\pi}{12}, \frac{5 \pi}{4}\right)
E) (0,π12) \left(0, \frac{\pi}{12}\right)
F) (5π4,5π8) \left(-\frac{5 \pi}{4}, \frac{5 \pi}{8}\right)

Correct Answer:

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