Transformation of equation: - 2π∫∫(dB/dt)dxdx = 2π∫∫(dE/dx)dxdx -> - d/dt∫Bdπx2 =...

[Desert Fox]

Transformation of equation: - 2π∫∫(dB/dt)dxdx = 2π∫∫(dE/dx)dxdx -> - d/dt∫Bdπx2 =...

Hello buddies,
I am layman in Mathematics. But now I am reading a Physics book, where I found the following transformation. Let's forget about Physics for a moment. Tell me, please, is the transformation correct from mathematical point of view? Is the transformation mathematically correct?
Sorry for the childish question, here it's the transformation:

- 2π∫∫(dB/dt)dxdx = 2π∫∫(dE/dx)dxdx -> - d/dt∫Bdπx² = ∫Ed2πx


π is the Pi number.

I will be very thankful for every reply, comment and explanation.
Wish you a nice day!!

 

[tkhunny]

The notation "dxdx" is pretty unusual.

 

[Desert Fox]

The notation "dxdx" is pretty unusual.

dx is defined by the the wave equation: d²u/dx² = (1/k²)(d²u/dt²)

B and E are the electromagnetic vectors from Maxwell's law.

Can this help?

 

[stapel]

dx is defined by the the wave equation: d²u/dx² = (1/k²)(d²u/dt²)

B and E are the electromagnetic vectors from Maxwell's law.

Can this help?

Um.... There is a "dx" that is used in that equation, but I doubt that it's been defined by that equation. Also, I think the helper's comment was perhaps meant as a gentle suggestion to check to see if you've posted the equation correctly. As posted, it doesn't make the best sense in the world. (That's why the confusion on your other thread, here.)

Thank you!