As was mentioned in Problem 24, the differential equation (7) that governs the deflection y(x) of a thin elastic column subject to a constant compressive axial force P is valid only when the ends of the column are hinged. In general, the differential equation governing the deflection of the column is given by d²y d²y 2² (0¹¹). ΕΙ dx2 dx² + P = 0. dx² Assume that the column is uniform (EI is a constant) and that the ends of the column are hinged. Show that the solution of

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