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Jul 20, 2020 at 5:01 comment added A little mouse on the pampas 2++,Great answer .
Jan 21, 2019 at 22:09 history edited Nasser CC BY-SA 4.0
typo
Jan 21, 2019 at 22:00 history edited Nasser CC BY-SA 4.0
fixed math problem
Jan 21, 2019 at 21:12 comment added Moreza7 @Nasser When using [0 , Pi] interval in integrating, there should be a 2 factor because we changed [-Pi, Pi] to [0, Pi] so the Mathematica is right. I don't know why you didn't used the 2 factor.
Jan 21, 2019 at 20:50 comment added Moreza7 @Nasser Thank You. But using Mathematica for Fourier series coefficient: FourierCosCoefficient[Sin[x] - (x - ((x^2)/Pi)), x, 0] gets: 4/Pi - Pi/3 which is twice as yours: 2/Pi-P/6 why?
Jan 21, 2019 at 20:30 comment added Moreza7 The B1 must be zero. How it is 2/Pi?!
Jan 20, 2019 at 6:58 history edited Nasser CC BY-SA 4.0
fixed small typo in latex
Jan 19, 2019 at 19:31 history edited Nasser CC BY-SA 4.0
removed the scaling issue. not needed
Jan 19, 2019 at 0:22 vote accept Moreza7
Jan 18, 2019 at 19:42 comment added Bill Watts The premise that only having neumann boundary conditions makes the solution non-unique does not apply to the heat equation. There are numerous examples all over the web. One is found at ramanujan.math.trinity.edu/rdaileda/teach/s12/m3357/lectures/…. For some pde's the premise is correct, but different pde's have different bc requirements. By the way, separation of variables works very well in this case, but you do have to use plus separation as well as times separation to get all the pieces.
Jan 18, 2019 at 7:36 comment added Bill Watts Changing the coefficient of t is not the same as adding any number to the solution. And indeed, changing that coefficient does not effect the bc's or ic's, but it breaks the pde.
Jan 18, 2019 at 5:48 comment added Mariusz Iwaniuk 1++,Great answer .
Jan 18, 2019 at 4:31 history edited Nasser CC BY-SA 4.0
fixed typo
Jan 18, 2019 at 4:06 history answered Nasser CC BY-SA 4.0