QUESTION

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Solve the initial value problem (7) \[ y^{\prime \prime}+2 y^{\prime}+0.75 y=2 \cos x-0.25 \sin x+0.09 x, \quad y(0)=2.78, \quad y^{\prime}(0)=-0.43 \] Continue solving and Find the particular solution \[ y=3.1 e^{-x / 2}+\sin x+0.12 x-0.32 \]

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