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Solve the differential equation (D^3 – 3D^2 + 4D – 2)y = e^x

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Solve the differential equation (D3 – 3D2 + 4D – 2)y = ex

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Auxiliary equation for the given equation becomes

D3 – 3D2 + 4D – 2 = 0 or (D – 1)(D2 – 2D + 2) = 0

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Solve the equation (D^3 - 3D^2 + 4D - 2)y = e^x
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