Show that the general solution of y(4) y = 0 can be

Chapter 4, Problem 37

(choose chapter or problem)

Show that the general solution of y(4) y = 0 can be written asy = c1 cost + c2 sin t + c3 cosh t + c4 sinh t.Determine the solution satisfying the initial conditions y(0) = 0, y(0) = 0, y(0) = 1,y(0) = 1. Why is it convenient to use the solutions cosh t and sinh t rather than et andet?

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