In: Advanced Math
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.