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Does the initial value problem y' = ( ((cos 4x) / (1 + 2 log x)1/2)...

Does the initial value problem y' = ( ((cos 4x) / (1 + 2 log x)1/2) + esin2x ), y(0) = 1.7 have a solution in an open interval? Specify the interval if it exists. If the solution exists, is the solution unique?

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