Solving Laplace Eqn by Separation of vbls

  • #1
Vapor88
24
0
Okay, I'm stumped at what seems like a very simple mathematical step

I start with
laplace1.png


Then, the next step is
laplace2.png


I see what changed, but I don't understand exactly what happened. Can someone please explain? Thanks in advance!
 
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  • #2
They just applied the product rule:

[tex] \frac{\partial}{\partial x} \left(f(x)g(x)\right) = g(x) \frac{\partial f(x)}{\partial x} + f(x) \frac{\partial g(x)}{\partial x} [/tex]
 
  • #3
*facepalm*

Thanks. Also, just realized this is in the wrong forum. I'm on a roll...
 
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