Discuss why it makes intuitive sense to presume that the linear differential equation y'' + 2y' +

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Discuss why it makes intuitive sense to presume that the linear differential equation y'' + 2y' + 4y = 5 sin t has a solution of the form y = A sin t + B cos t, where A and B are constants. Then find specific constants A and B so that y = A sin t + B cos t is a particular solution of the DE.

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