Solve for A_n: Fourier Coefficient $$u_y(x,\pi) = 0$$

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The discussion centers on solving the equation $$u_y(x,\pi) = \frac{x}{\pi} + \sum_{n = 1}^{\infty}nB_n\sin xn\cosh\pi n = 0$$ for the Fourier coefficient \(B_n\). User dwsmith mistakenly referenced \(A_n\) instead of \(B_n\), leading to clarification from Sudharaka. The equation involves a series expansion where the coefficients \(B_n\) are critical for determining the behavior of the function.

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$$
u_y(x,\pi) = \frac{x}{\pi} + \sum_{n = 1}^{\infty}nB_n\sin xn\cosh\pi n = 0.
$$
How can I solve for $A_n$ here?
 
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dwsmith said:
$$
u_y(x,\pi) = \frac{x}{\pi} + \sum_{n = 1}^{\infty}nB_n\sin xn\cosh\pi n = 0.
$$
How can I solve for $A_n$ here?

Hi dwsmith, :)

You you mean \(B_n\) ? There is no \(A_n\) in the equation.

Kind Regards,
Sudharaka.
 

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