- #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

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- 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

- 9,568

- 774

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##.

Share:

- Replies
- 1

- Views
- 454

- Replies
- 26

- Views
- 587

- Replies
- 2

- Views
- 673

- Replies
- 20

- Views
- 675

- Replies
- 2

- Views
- 477

- Replies
- 5

- Views
- 1K

- Replies
- 6

- Views
- 664

- Replies
- 23

- Views
- 663

- Replies
- 1

- Views
- 436

- Replies
- 6

- Views
- 232