The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. y = c₂e* + €₂€¯*, (−00,00); y - y = 0, y(0) = 0, y(0) = 5

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A: Solution: ∫8z+4z3-6z2dzApply the sum rule=∫8zdz +∫4z3dz -∫6z2dz

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A: Follow the procedure given below.

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A: See  the details solution in below

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A: Please see the below picture for detailed solution.

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