Electromagnetic wave complex wave function

[melodyyyylwy]

Hello!
I am not quite sure how do i verify the complex wave function of EM wave

$\vec{E}$(x,y,z,t)= $\vec{E}$₀e^{i(kz-$\omega$t+$\delta)$}

is a function of the wave equation

$\nabla$²$\vec{E}$=$\frac{1}{c^2}$$\frac{∂^2E}{∂t^2}$

 

[Matterwave]

Have you tried simply plugging it in and seeing if the two sides are equal?

 

[melodyyyylwy]

Have you tried simply plugging it in and seeing if the two sides are equal?

oops my brain must have stopped working... Thanks a lot anyway :)