- #1

- 1

- 0

One of the condition is that:

u(1,y)=y(1-y)

After working on this I finally got:

∑An sin(π n y )sinh (π n) = y(1-y)

However, i was asked to find An, by not using Fourier series coefficient, Is it possible to do so? Cheers

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- Thread starter Alana02011114
- Start date

- #1

- 1

- 0

One of the condition is that:

u(1,y)=y(1-y)

After working on this I finally got:

∑An sin(π n y )sinh (π n) = y(1-y)

However, i was asked to find An, by not using Fourier series coefficient, Is it possible to do so? Cheers

- #2

- 9,557

- 767

One of the condition is that:

u(1,y)=y(1-y)

After working on this I finally got:

∑An sin(π n y )sinh (π n) = y(1-y)

However, i was asked to find An, by not using Fourier series coefficient, Is it possible to do so? Cheers

No, I don't think so. That hint usually arises in a situation where, if your equation were$$\sum_{n=1}^\infty A_n\sinh(\pi n)\sin(n\pi y) = 5\sin(3\pi y)$$where you could immediately say$$A_3 \sinh(3\pi) = 5$$ and all the other ##A_n=0##.

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