How do Maxwell's equations relate to the wave equation?

[may de vera]

how would i solve this?

Let respectively b = (b1, b2, b3) and e = (e1, e2, e3) denote the magnetic
and electric field in some medium. They are governed by Maxwell’s equations which look as follows:
(0.1) dte = curl b
(0.2) dtb = −curl e
(0.3) div e = 0
(0.4) div b = 0.
Show that each bi and each ei satisfies the wave equation
(dt^2-delta)phi = 0)

 

[gabbagabbahey]

Try taking the curl of both sides of equations 0.1 and 0.2 and see what you get...

 

[Dick]

Let respectively b = (b1, b2, b3) and e = (e1, e2, e3) denote the magnetic
and electric field in some medium. They are governed by Maxwell’s equations which look as follows:
(0.1) dte = curl b
(0.2) dtb = −curl e
(0.3) div e = 0
(0.4) div b = 0.
Show that each bi and each ei satisfies the wave equation
(dt^2-delta)phi = 0)

Don't double post, ok?