Question

In: Advanced Math

Use your knowledge of second-order systems forced by a sinusoidal function to solve (a) y ''''...

Use your knowledge of second-order systems forced by a sinusoidal function to solve (a) y '''' + y ′′ = sin x.

Hint: Try to integrate twice immediately. Extra hint: Your solution should involve four constants.

(b) Instead consider y'''' + y ′′ = x sin x. Note that ∫ x s sin s s = sin x − x cos x + c, where c is a constant.

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