When a compressive instead of a tensile force is applied at the free end of the beam

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When a compressive instead of a tensile force is applied at the free end of the beam in Problem 7, the differential equation of the deflection is

EIy'' = -Py – w(x)x/2.

Solve this equation if w(x) = w0 x, 0 < x < L, and y(0) = 0, y'(L) = 0.

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