APM346-2015F > Test 2

TT2-P3

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Rong Wei:

--- Quote from: Emily Deibert on November 19, 2015, 01:52:18 AM ---
--- Quote from: Catch Cheng on November 19, 2015, 12:43:05 AM ---Please correct if something is wrong, thank you.

--- End quote ---

Catch, I am very confused---why is $Y$ a function of $x$ in your last step?!

--- End quote ---
I guess she means y, but clerical error

Emily Deibert:

--- Quote from: Fei Fan Wu on November 19, 2015, 01:58:00 AM ---I did it a different way. But by Catch's method shouldn't there be the additional constraint that $\lambda=\lambda_1 +\lambda_2$?

--- End quote ---

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

Emily Deibert:

--- Quote from: Rong Wei on November 19, 2015, 01:58:33 AM ---
--- Quote from: Emily Deibert on November 19, 2015, 01:52:18 AM ---
--- Quote from: Catch Cheng on November 19, 2015, 12:43:05 AM ---Please correct if something is wrong, thank you.

--- End quote ---

Catch, I am very confused---why is $Y$ a function of $x$ in your last step?!

--- End quote ---
I guess she means y, but clerical error

--- End quote ---

Yes, you must be right! For a second I was worried that I had done everything wrong!

Bruce Wu:

--- Quote from: Emily Deibert on November 19, 2015, 01:59:03 AM ---
--- Quote from: Fei Fan Wu on November 19, 2015, 01:58:00 AM ---I did it a different way. But by Catch's method shouldn't there be the additional constraint that $\lambda=\lambda_1 +\lambda_2$?

--- End quote ---

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

--- End quote ---

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

Emily Deibert:

--- Quote from: Fei Fan Wu on November 19, 2015, 02:02:19 AM ---
--- Quote from: Emily Deibert on November 19, 2015, 01:59:03 AM ---
--- Quote from: Fei Fan Wu on November 19, 2015, 01:58:00 AM ---I did it a different way. But by Catch's method shouldn't there be the additional constraint that $\lambda=\lambda_1 +\lambda_2$?

--- End quote ---

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

--- End quote ---

You're right, but then in the end shouldn't the final eigenvalues be $\lambda_n=\left(\frac{n\pi}{a}\right)^2+\left(\frac{n\pi}{b}\right)^2$?

--- End quote ---

Indeed, good point.

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