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Math Help - PDE-fourier sine series (help!!!)

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    PDE-fourier sine series (help!!!)



    do i use the bessel's equation to solve this problem?any help will be appreciated thanks.
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    Quote Originally Posted by canuhelp View Post


    do i use the bessel's equation to solve this problem?any help will be appreciated thanks.
    As the question says, use a Fourier Sine series. Here

     <br />
f(x) = \frac{\pi-x}{2} = \sum_{n=1}^{\infty} a_n \sin nx<br />

    where a_n = \frac{2}{\pi} \int_0^{\pi} f(x) \sin nx\,dx = \frac{1}{n }

    so

     <br />
\frac{\pi-x}{2} = \sum_{n=1}^{\infty} \frac{\sin nx}{n}<br />

    Now sub. in x = \frac{\pi}{2}
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