Example 10.37. The deflection of a beam is governed by the equation day +81y = o(x), where (x) is given by the table dx4 X 1/3 2/3 1 p(x): 81 162 243 and boundary condition y(0) = y(0) = y″(1) = y"(1) = 0. Evaluate the deflection at the pivotal points of the beam using three sub-intervals,

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