Using Maxwell’s equations in free space, derive the wave equation for the y-component of the electric field vector.

Maxwell's equations describe the fundamental principles governing electric and magnetic fields in space. These equations form the foundation for understanding electromagnetic waves, and by manipulating them, we can derive the wave equation for the y-component of the electric field vector.

Let's start with Maxwell's equations in free space:

1. Gauss's Law for Electricity:
   \[ \nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0} \]

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