When a uniform beam is supported by an elastic foundation, the differential equation for its deflection y

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When a uniform beam is supported by an elastic foundation, the differential equation for its deflection y(x) is

                    d'y dx + 4ay w(x)

  

where is a constant. In the case when = 1, find the deflection y(x) of an elastically supported beam of length π that is embedded in concrete at both ends when a concentrated load w0 is applied at = π /2.

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