(a) Consider the set-up in Figure 6.4 with L = 1 and assume EI = 1. suppose a force F= ! applied downward at x = 1/4 Give a differential equation to describe the deflection y(x) in the vertical direction where x is the position on the beam (b) Suppose the endpoints of the beam satisfy the conditions Apply the Laplace transform in the x variable (instead of the t variable) and find the deflection y(x). Be sure to show/explain all your work.

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