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-\omegat+\delta)}

is a function of the wave equation

\nabla²\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 :)