Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial value problem. y' = 4 sin y + 5 e2x. y(0) = 0 The Taylor approximation to three nonzero terms is...

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Extracted text: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial value problem. y' = 4 sin y + 5 e2x. y(0) = 0 The Taylor approximation to three nonzero terms is y(x) = +....