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Mathematics LibreTexts

10.9: Back to our Initial Problem

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    After all that we have learned, we know that in order to determine the solution of the initial problem in Sec. 10.1 we would have to calculate the integrals \[A_j = \frac{2}{c^2 J_1^2(c \alpha_j)}\int_0^c f(\rho) J_0(\alpha_j \rho) \rho d\rho\]