Prove that for the specially orthotropic plate shown in Figure 7.48 under the loading described by Equation 7.144, the solution given by Equation 7.146 satisfies the differential Equation 7.139 and the boundary conditions in Equations 7.142 and 7.143.

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q(x, y) x Simple supports on all edges FIGURE 7.48 Simply supported, specially orthotropic plate with distributed loading.