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Find the particular integral of the following differential equations.(Explain each step clearly) (a) d2y/dx2 + y...

Find the particular integral of the following differential equations.(Explain each step clearly)

(a) d2y/dx2 + y = (x + 1) sin x.

(Hint:In this case, we substitute sin αx or cos αx with eiαx then use the shift operator. In the case of sin αx we extract the imaginary part.)

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