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Messages - Rong Wei

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1
Test 2 / Re: TT2-P3
« on: November 19, 2015, 02:22:49 AM »
I did it a different way. But by Catch's method shouldn't there be the additional constraint that $\lambda=\lambda_1 +\lambda_2$?

Actually I think Catch did mention that, near the top right of the page.

You're right, but then in the end shouldn't the final eigenvalues be $\lambda_n=(\frac{n\pi}{a})^{2}+(\frac{n\pi}{b})^{2}$?
I think so, maybe she lost that step

2
Test 2 / Re: TT2-P3
« on: November 19, 2015, 01:58:33 AM »
Please correct if something is wrong, thank you.

Catch, I am very confused---why is $Y$ a function of $x$ in your last step?!
I guess she means y, but clerical error

3
Test 2 / Re: TT2-P1
« on: November 19, 2015, 01:55:36 AM »
I got the same answer as Fei Fan Wu, but unfortunately forgot to put the factor of $\frac{1}{2}$ during the test! Oops.
you sleep so late,  maybe I'm wrong, but anyway, this test is pretty hard  :'(

4
Test 2 / Re: TT2-P1
« on: November 19, 2015, 01:30:32 AM »
:)
for the last step, m should start from 0, my mistake

5
Test 2 / Re: TT2-P2
« on: November 19, 2015, 01:28:28 AM »
my solution

6
Test 2 / Re: TT2-P2
« on: November 19, 2015, 01:26:25 AM »
The final answer cannot be right if it does not satisfy the boundary conditions.
I don't understand neither, but maybe you can check the lecture notes, http://www.math.toronto.edu/courses/apm346h1/20159/PDE-textbook/Chapter5/S5.3.html

Okay, thank you for the link! It did not work for me before. I am checking the textbook now, I hope I can understand.

 welcome, Emily,  ;D

7
Test 2 / Re: TT2-P2
« on: November 19, 2015, 01:20:51 AM »
The final answer cannot be right if it does not satisfy the boundary conditions.
I don't understand neither, but maybe you can check the lecture notes, http://www.math.toronto.edu/courses/apm346h1/20159/PDE-textbook/Chapter5/S5.3.html

8
Test 2 / Re: TT2-P2
« on: November 19, 2015, 01:18:02 AM »
as Xi Yue Wang did in homework 7 and lecture notes here: http://www.math.toronto.edu/courses/apm346h1/20159/PDE-

Rong Wei, which section did you mean? The link does not work for me!
5.3! actually, solution in this section is quite confused for me  :'(

9
Test 2 / Re: TT2-P2
« on: November 19, 2015, 01:17:04 AM »
Xi Yue's solution makes no sense. By her answer $u(x,0)=0$, which clearly does not satisfy the boundary condition.
you are right Fei Fan, I think the process is not right, but the final answer is right based on Lecture Notes.   ;D

10
Test 2 / Re: TT2-P2
« on: November 19, 2015, 01:14:48 AM »
as Xi Yue Wang did in homework 7 and lecture notes here: http://www.math.toronto.edu/courses/apm346h1/20159/PDE-

11
Test 2 / Re: TT2-P2
« on: November 19, 2015, 01:08:57 AM »
I believe Xi Yue Wang is right  ;D

12
Test 2 / Re: TT2-P3
« on: November 19, 2015, 01:05:57 AM »
furthermore, we will have λn for U = (pi*n/a)^2 + (pi*n/b)^2
     

13
Test 2 / Re: TT2-P1
« on: November 19, 2015, 12:56:19 AM »
 :)

14
HA9 / Re: HA9-P2
« on: November 17, 2015, 11:13:51 PM »
I found a mistake in part b, the Wn should equal to n/σn

15
HA9 / Re: HA9-P6
« on: November 14, 2015, 06:07:16 PM »
 :) :) :)

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