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I've been working my way through various Calc books I have to reach this point: the infamous Partial Differential. In school I was in Algebra 2 last year due to some track issues shall we say... but I was so set on learning how to use some of the great physics equations in my code such as the Navier-Stokes and Wave equation that I managed to plod my way through differentiation and now have arrived at partials.

I've got the theory well enough, and if you give me an equation of the form f(x,y) = something I can find [tex] \frac{\partial f(x,y)}{\partial x} [/tex] or [tex] \frac{\partial f(x,y)}{\partial y} [/tex]. I was so excited when I checked my answers to some problems in the book and they were right!

I ran to The Oracle (Google) to find a physics equation I could code and see results. I found the Wave equation: the simplest one, so I was told.

Turns out the simplest real equation is beyond me: [tex] T \frac{\partial^2 y}{\partial x^2} = U \frac{\partial^2 y}{\partial t^2} = [/tex]. (I think I have that correct)

Now: second order equations I could probably handle, but really, what is that thing! I mean, there are TWO sets of [tex] \frac{\partial^2 }{\partial V^2} [/tex] (where V is some variable). I mean, the idea is that knowing x and t, you can find the height y of a tiny section of string. I simply have no idea how to go about putting in an X or T, getting an equation in terms or Y, etc. All I know is that through some magic, there are solutions to that equation of the form y(x,t).

Thanks for any help you can give, sorry I have to bother all of you "learned scholars",

-Jack Carrozzo

http://www.crepinc.com/

Jack {[at]} crepinc.com

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# PDE's: examples I can do, real equations No.

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