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08272014, 03:20 PM  #1 
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Solving Differential Equations to obtain E and B fields
del^2 B =  mu_0^2 * epsilon_0^2 * partial derivative of B with respect to t
del^2 E = mu_0^2 * epsilon_0^2 * partial derivative of B with respect to t Solve for B and E in the simplest possible solution. It will be e raised to some power. 
08272014, 03:38 PM  #2 
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So this is the **** you're giving up tennis for.
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08272014, 03:46 PM  #3 
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Yes, it's electromagnetic waves in Physics albeit in a parallel universe where we change the differential form of Ampere's Law from having a partial derivative of an electric field with respect to time to a partial derivative of a magnetic field with respect to time.

08272014, 03:50 PM  #4 
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I know you could use method of undetermined coefficients, but I am confused on the setup, as I have forgotten a lot of Differential Equations in 2 and a half months

08272014, 03:52 PM  #5 
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Are you familiar with LaTeX? If so, I think you should ask it on one of these sites.
http://physics.stackexchange.com http://math.stackexchange.com It'll be far more useful than asking on a tennis message board. 
08272014, 03:59 PM  #6  
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08272014, 04:16 PM  #7 
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By del^2 B you mean second deriv of B?

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08272014, 04:21 PM  #8 
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08272014, 04:30 PM  #9 
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08272014, 05:57 PM  #10 
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I'd help, but that was decades ago, and like most engineers, I've never needed it since.
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08272014, 10:14 PM  #11 
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08282014, 02:25 AM  #12  
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08282014, 02:51 AM  #13  
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Wait until you have kids taking calc, chem, bio or physics in high school and you have to try to remember those. Worse, have a kid who takes diff eqs in high school (she ended up at MIT), and try to remember any of that.
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08282014, 03:11 AM  #14  
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Haha, I was surrounded with computers and older generation mainframe manuals (with lots of relatives in the medical professions which I never had had interests whatsoever) at home as a youngster, I immediately thought I wanted to be an electrical/computer engineer...fast forward, while taking up electrical engineering with heavy emphasis on computer science, I realised I am not really into computers. Fascination and wanting to make a career out of it are 2 very different thing. Upon graduation, got a systems administrators job but I immediately jockeyed for middle mgmt positionwhich I did getand couldn't be more happier eversince! Gosh, how am I suppose to reacquaint with differential and integral equations with my kids in the future? Guess, it'll all come back to me, by then?
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08282014, 08:52 AM  #15 
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Are B and E scalars, vectors, or tensors? In how many dimensions (and what coordinate system) are you taking the Laplacian?

08282014, 08:58 AM  #16 
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Vectors in 3 dimensions, xyz (Cartesian coordinate system), but we are trying to solve it in the simplest possible form so it should end up being in one directional axis.

08282014, 12:14 PM  #17 
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This is a tricky problem. Since it has the first derivative wrt time and not the second, it is NOT the wave equation. It is the heat equation, which is very painful to solve.
http://en.wikipedia.org/wiki/Heat_equation 
08282014, 06:39 PM  #18 
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Bump, if anyone is able to solve this for me, I will leave Talk Tennis for a week and stop trolling, but it needs to be solved within the next 4 hours.

08282014, 06:57 PM  #19 
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Please, someone solve this.
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08282014, 07:00 PM  #20 
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Yes, please someone solve this! It has to be right though. My Prof. will let me know tomorrow, and if it is right, I will not post at all on Talk Tennis until September 6th.


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