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### Messages - Fanxun Zeng

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1
##### Home Assignment 4 / Re: Problem 1
« on: December 20, 2012, 02:12:38 AM »
In addition to Part c solution I posted above, here is Problem 1 Part e Bonus solution to prove eigenvalues are simple.

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##### Home Assignment 4 / Re: Problem 2
« on: December 20, 2012, 02:10:59 AM »
In addition to Part c solution I posted above, here is Problem 2 Part d Bonus solution to prove eigenvalues are simple.

3
##### Home Assignment 3 / Re: Problem 4
« on: December 20, 2012, 12:00:07 AM »
I just find by myself online for a well-typed clear solution for Problem 4 and share solution attached
http://www.math.uiuc.edu/~rdeville/teaching/442/hw2S.pdf

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##### Home Assignment 4 / Re: Problem 2
« on: December 19, 2012, 10:30:49 PM »
Thanks for a and b. As no one has posted Problem 2 part c yet, I just did using IBP as attached.

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##### Home Assignment 4 / Re: Problem 1
« on: December 19, 2012, 10:05:43 PM »
Thanks for parts a b d above. As no one has posted part c yet, I just post solution attached.

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##### Home Assignment 3 / Re: problem 3
« on: December 18, 2012, 07:20:40 PM »
Thanks Aida for posting Part b in December. As there is still NO solution posted for Part d yet, I spent 1 hour to write part d and post attached same 2 images, first by camera, second by scan.

Thanks professor. Here I used error function in the textbook, instead of that given in the homework, but yes they are same. In part d, I got limit u(x,t)=1 for Neumann condition.

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##### Home Assignment 9 / Re: Problem 3
« on: December 05, 2012, 11:05:39 PM »
Problem 3 b Neumann Solution Attached

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##### Home Assignment 9 / Problem 3
« on: December 05, 2012, 10:30:13 PM »

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##### Home Assignment 9 / Re: Problem 1
« on: December 05, 2012, 09:50:52 PM »
Problem 1 My Solution Attached

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##### Home Assignment 9 / Re: Problem 2
« on: December 05, 2012, 09:50:26 PM »
Yes--fixed now in html (not in pdf)

Thanks for fixing Problem 2. Solution Attached.

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##### Home Assignment 9 / Problem 4
« on: December 05, 2012, 09:47:58 PM »

12
##### Home Assignment 8 / Re: Problem 1
« on: November 28, 2012, 11:59:50 PM »
Thanks Calvin's solutions at 21:47, especially parts c and d bonus, which are not required. I only posted parts a and b at 21:32, which are all required work for Problem 1. By the way, note in my part b, r should be replaced by Ï. Part a posted t 21:31 is OK.

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##### Home Assignment 8 / Re: Problem 2
« on: November 28, 2012, 11:41:49 PM »
Dear Ian: I strongly agree with you we should justify for math education purpose. For TA marking purpose only, I think what I posted at 21:30 before Calvin is correct to get full marks, as question part c only requires "to formulate similar statements".

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##### Home Assignment 8 / Re: Problem 3
« on: November 28, 2012, 11:25:34 PM »
Problem 3 b my own solution attached for 2 counter examples, different from Calvin's solution, I just typed it in Paint thanks!

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##### Home Assignment 8 / Re: Problem 4
« on: November 28, 2012, 10:06:44 PM »
Anyone knows full solution of Problem 4? One of my ideas is gravitational potential approaches zero at infinity to set B=0 as:
http://www.math.toronto.edu/courses/apm346h1/20129/L27.html

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