Consider the initial-value problem:

y' = cos(6t+6sin(y)), y(0) = 12

What can you say, and why, about each of the following?

(a) How many solutions, if any, there are to that initial-value problem.

(b) On what interval such solutions(s), if any, are defined

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I've been working on this problem for hours now and am completely stumped. Any help would be appreciated thanks!