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The deflection of a beam, y(x), satisfies the differential equation 24 dx4 w(x) on 0 < x < 1. Find y(x) in the case

 

The deflection of a beam, y(x), satisfies the differential equation 24 dx4 w(x) on 0 < x < 1. Find y(x) in the case where w(x) is equal to the constant value 9, and the beam is embedded on the left (at x = 0) and simply supported on the right (at x = 1). Enter your answer as a symbolic function of x, as in these examples Do not include 'y=' in your answer.

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