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Find all values of the constant a, if any, such that u(t) = (2 + a sin t) -1/2 is a solution of the first-order

Find all values of the constant a, if any, such that u(t) = (2 + a sin t)^-1/2 is a solution of the first-order ODE 4u' + u³ cos(t) = 0

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