(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem has four very similar parts:

A)Rewrite the following vector equations as systems of differential equations:

[itex]\frac{q}{A}=-k \nabla T[/itex] (q is a vector) (spherical coordinates; k and A are constants)

B)Rewrite the following vector equations as systems of differential equations:

[itex]\nabla ^{2} T + \frac{a}{k}=0[/itex] (Cartesian coordiatnes; a and k are constants)

C)Solve the following diff eqs:

C1) [itex]q + \frac{k}{r} \frac{d}{dr}(r \frac{dT}{dr}) =0[/itex]

q and k are constant

Hint: integrate and use the constants of integration A and B

C2) [itex]\frac{d^{2}\varphi}{dx^{}2} + s \varphi =0[/itex]

Boundary conditions: [itex]\frac{d\phi}{dx}+0 @ x=0 ; \phi=c @ x= \pm L[/itex]

c,L are constant s is a positive constant.

Hint: use sin and cos functions

2. Relevant equations

None that I know of

3. The attempt at a solution

I do not have one. I am thouroughly confused. I am asking a TA tomorrow, but if someone could just nudge me in the right direction before that I would be appreciative. I know this is not terribly hard, but for some reason it is stopping me.

Thanks,

Nkk

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# Vector Equations to sys of diff eq

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