How can we show the following equation

$$\sum_{n\text{ odd}}\frac1{n\sinh(n\pi)}=\frac{\mathrm{ln}2}8\;?$$

I found it in a physics book(David J. Griffiths,'Introduction to electrodynamics',in Chapter 3,problem3.48), which provided no proof.

How can we show the following equation

$$\sum_{n\text{ odd}}\frac1{n\sinh(n\pi)}=\frac{\mathrm{ln}2}8\;?$$

I found it in a physics book(David J. Griffiths,'Introduction to electrodynamics',in Chapter 3,problem 3.48), which provided no proof.

How can we show the following equation

$$\sum_{n\text{ odd}}\frac1{n\sinh(n\pi)}=\frac{\mathrm{ln}2}8\;?$$

I found it in a physics book, which provided no proof.

How can we show the following equation

$$\sum_{n\text{ odd}}\frac1{n\sinh(n\pi)}=\frac{\mathrm{ln}2}8\;?$$

I found it in a physics book(David J. Griffiths,'Introduction to electrodynamics',in Chapter 3,problem3.48), which provided no proof.

$$\sum_{n\text{ odd}}\frac1{n\sinh(n\pi)}=\frac{\mathrm{ln}2}8\;.$$

I found it in a physics book,but it has not any solution

How can we show the following equation

$$\sum_{n\text{ odd}}\frac1{n\sinh(n\pi)}=\frac{\mathrm{ln}2}8\;?$$

I found it in a physics book, which provided no proof.