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### Messages - Peishan Wang

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1
##### Home Assignment 5 / Problem 2
« on: October 30, 2012, 11:36:54 AM »
Hi Professor,

I'm not sure if there's a typo but in Problem 2 I think we should be given a specific interval (say [-pi, pi]) in order to plot the graph. Thanks!

2
##### Home Assignment 4 / Re: Problem 3
« on: October 24, 2012, 11:21:14 PM »
Part 3 (to check if there's 0 or negative eigenvalues).

OK. -- V.I.

3
##### Home Assignment 4 / Re: Problem 3
« on: October 24, 2012, 11:20:15 PM »
Please let me know if there's anything wrong with the answer attached. Thanks

4
##### Home Assignment X / Re: Problem 4
« on: October 15, 2012, 06:53:33 AM »
And I got a different answer for part (b) as well, which is

1/2*erfâ¡((1-x)/âˆš2t) + 1/2*erfâ¡((1+x)/âˆš2t), where âˆš2t stands for "square root of 2t".

5
##### Home Assignment X / Re: Problem 4
« on: October 15, 2012, 06:24:49 AM »
I'm not sure if I did it wrong but I got a different answer to part(a): 1/2 + 1/2*erf(x/âˆš2t), where âˆš2t stands for "square root of 2t".

6
##### Home Assignment 3 / Re: problem 3
« on: October 14, 2012, 01:56:36 AM »
I think it doesn't matter. If you use the error function (the first attachment) provided by our professor, then you let p = ((y-x+2kÎ±t) / (âˆš 2kt)). If you use the other form (the second attachment) which is used in the textbook, then you let p = ((y-x+2kÎ±t) / (âˆš 4kt)).

And in another post, http://forum.math.toronto.edu/index.php?topic=49.0 Julong has shown that these two forms are actually equivalent.

Professor can you provide some feedback to the posted solutions? It seems that you ignored this post completely. Thanks.

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##### Home Assignment 3 / Re: problem 3
« on: October 11, 2012, 02:47:33 PM »
Yeah my answers are really long but I don't know other ways to solve the problem....

8
##### Home Assignment 3 / Re: Problem 6
« on: October 10, 2012, 11:12:51 PM »
Q6 part(c)

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##### Home Assignment 3 / Re: Problem 6
« on: October 10, 2012, 11:12:31 PM »
Q6 part(b)

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##### Home Assignment 3 / Re: Problem 6
« on: October 10, 2012, 11:09:21 PM »
Q6 part(a)

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##### Home Assignment 3 / Re: problem 3
« on: October 10, 2012, 11:03:51 PM »
Q3 part(d)

We get the same answer as in part (a) because g(x) is itself an even function, so if we take even reflection we still get g(x).

12
##### Home Assignment 3 / Re: problem 3
« on: October 10, 2012, 11:00:01 PM »
Q3 part(c)

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##### Home Assignment 3 / Re: problem 3
« on: October 10, 2012, 10:57:53 PM »
Q3 part(b) which used the same method as part(a).

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##### Home Assignment 3 / Re: problem 3
« on: October 10, 2012, 10:52:54 PM »
Q3 part(a)

(Sorry this part is kind of long so I have to attach 4 pictures. Please let me know if there's anything wrong with the answers.)

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##### Home Assignment 3 / Re: Problem 2
« on: October 08, 2012, 09:39:08 AM »
Yeah I've read the lecture notes twice.....  actually my question is, can we use method of reflection (continuation) only with a boundary condition at x=0? From what we've learned, we use this method only when we have a Dirichlet or Neumann boundary condition (evaluated at x=0). If I instead have a boundary condition evaluated at, say x=t, is there any technique that allows me to take advantage of the method of continuation? I don't know how I can make the boundary condition automatically satisfied in this case..... Thanks.

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