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**Home Assignment 7 / Re: Problem 3**

« **on:**November 19, 2012, 09:31:27 PM »

Hopeful solutions attached!

(part 3)

(part 3)

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Hopeful solutions attached!

(part 3)

(part 3)

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Hopeful solutions attached!

(Essentially the same as Fanxun's, but with exponential instead of sines and cosines.. the difference is trivial.)

(Essentially the same as Fanxun's, but with exponential instead of sines and cosines.. the difference is trivial.)

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Hopeful solutions attached!

Note that for 4.b), we require that as r goes to infinity, u goes to 0, which forces $A_0 = 0$.

Note that for 4.b), we require that as r goes to infinity, u goes to 0, which forces $A_0 = 0$.

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Hopeful solutions attached!

(parts 1,2)

(parts 1,2)

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Hopeful solutions attached!

For 2.b), the ODE is exactly the same, but we switch the sign of k^2 u.

For 2.b), the ODE is exactly the same, but we switch the sign of k^2 u.

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Are we supposed to use spherical coordinates for this question? If so, should r be replaced with rho?You can call the variables whatever you feel like - it makes no difference.

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Oh - oops! I hadn't read that far yet. Thank you!

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For Problem 4, it seems the solution can only defined up to a constant - is that alright?

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Hopeful solution attached!

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Chen Ge, in 1.b) I'm not sure you can have the derivative of f since it isn't differentiable.. :S

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Hopeful solutions to both parts attached!

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Hopeful solution attached!

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Hopeful solution to part c attached!

EDIT: Was not originally attached?

EDIT: Was not originally attached?

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Hopeful solution attached!

EDIT: was not originally attached..?

EDIT: was not originally attached..?

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Aida: How did you do the integral?