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Fourier Series finding An term

Hi,

Here is my working for finding A_n given knowledge that the sum is equal to a constant, l is a constant so the sinh(nl) part is just constant, my answer is mostly correct except it is 2 rather than 4 but I’ve gone over it so much and can’t find where the 4 comes from? Maybe where I am integrating but I’ve triple checked

It might seem stupid to ask about a mistake but small mistakes like this might be me actually misunderstandings part of the process

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Do you have the original question?
Reply 2
Original post by mqb2766
Do you have the original question?


This is the original question, but I am just worried about the last boundary condition phi(x,l)= phi_0
Reply 3
Original post by mqb2766
Do you have the original question?


64298470-4E4B-432A-9625-0C8CD451A720.jpg.jpeg
Sorry I meant to send this
Reply 4
Original post by mqb2766
Do you have the original question?


Actually never mind, I believe the problem is that x > 0 in the question but I am integrating over [pi, -pi]
Original post by grhas98
This is the original question, but I am just worried about the last boundary condition phi(x,l)= phi_0


Original post by grhas98
64298470-4E4B-432A-9625-0C8CD451A720.jpg.jpeg
Sorry I meant to send th

Original post by grhas98
Actually never mind, I believe the problem is that x > 0 in the question but I am integrating over [pi, -pi]


Sounds reasonable, but not checked.
Original post by grhas98
Actually never mind, I believe the problem is that x > 0 in the question but I am integrating over [pi, -pi]

Also the lhs looked like it was 0 not 2 when its was -pi .. pi.
Reply 7
Original post by mqb2766
Sounds reasonable, but not checked.


Oh yeah, ty

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