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Proof that y = 3 e - 4 x + x + 1 4 is the solution to the differential equation y ' ' +

Proof that $y = 3 e^{- 4 x} + x + \frac{1}{4}$ is the solution to the differential equation $y^{''} + 5 y^{'} + 4 y = 4 x + 6 .$

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Proof that y = 3 e - 4 x + x + 1 4 is the solution to the differential equation y ' ' +