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001572

2024-09-10

Inserting Particulate Solution of Imperfection Differential Equation

Inserting Particulate Solution of Imperfection Differential Equation

- {(\frac{π}{L})}^{2} \cdot C \cdot \sin (\frac{π \cdot x}{L}) + α^{2} \cdot C \cdot \sin (\frac{π \cdot x}{L}) = - α^{2} \cdot e_{0} \cdot \sin (\frac{π \cdot x}{L})

- {(\frac{π}{L})}^{2} \cdot C + α^{2} \cdot C = - α^{2} \cdot e_{0}

C \cdot (α^{2} - {(\frac{π}{L})}^{2}) = - α^{2} \cdot e_{0} | / (α^{2} - {(\frac{π}{L})}^{2})

C = \frac{α^{2} \cdot e_{0}}{{(\frac{π}{2})}^{2} - α^{2}}

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