Session 5: Solution to 1- dimensional heat(diffusion) equation when both ends are insulated.

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In this video we will talk about solution to one dimensional heat ( diffusion) equation when both ends are insulated.
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Sir, the formula for An should be 1/L integral 0 to L f(x)dx right?
you have given 2/L in the video
can you please confirm?

adwaitkulkarni
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I think there should be A०=1/L integration of f(x).
As if we are puting A०=2/L...then their is no need to find out it differently.
As we know fourier series vaild for n=1 to infinity so result getting from this series is only valid for n=1 to infinity, not for n=0. But here we can see that if we take A०=2/L...then it shows that value of A० is getting from same fourier series...

abhaymisal
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in hw question 1 ..
An = -2/pie [(-1)^n - 1)/n^2], this is coming and Ao is coming to be zero.. After that what to do to get the general solution?

thorrr
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7:51 sir but n and k are different right? how did you start n from 0

THUNDER-kwwq
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Hello Sir,
Can you please tell the videos of Fourier Series or important results required for PDE Unit part, it will be of great help.
Thank you in Advance.

thetechblogger
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Sir, is exam going to be conducted for fy

pranavmundada