Partial Differential Equation

Develope by Laplace to find its application in Electromagnetic wave

Partial Differential Equation of Electromagnetic wave

${\displaystyle \nabla ^{2}E=-\omega E}$

${\displaystyle \nabla ^{2}B=-\omega B}$

Solving Electromagnetic wave equation above yields electromagnetic wave function

${\displaystyle E=ASin\omega t}$

${\displaystyle B=ASin\omega t}$

${\displaystyle \omega ={\sqrt {\frac {1}{T}}}=C=\lambda f}$

${\displaystyle T=\mu \epsilon }$