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APM346--Misc / Thank You!
« on: December 22, 2015, 06:35:01 PM »
Thank you for a great course professor! Happy holidays!
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$g$ is a degree 3 polynomial, so $P$ will be a degree 1 polynomial. $g$ also has rotational symmetry about the z axis ($x^2+y^2=s^2$ in cylindrical coordinates)
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 $\lambda_n=\left(\frac{n\pi}{a}\right)^2+\left(\frac{n\pi}{b}\right)^2$?
I guess she means y, but clerical errorPlease correct if something is wrong, thank you.
Catch, I am very confused---why is $Y$ a function of $x$ in your last step?!
I did it a different way. But by Catch's method shouldn't there be the additional constraint that $\lambda=\lambda_1 +\lambda_2$?
Please correct if something is wrong, thank you.