Using Maxwell's equations to derive the continuity equation

[DontDeimos]

Homework Statement

Use Maxwell's equations to derive the continuity equation.

B=Magnetic Field
E=Electric Field
ρ=Charge Density
J=Current Density

Homework Equations

Maxwell's Equations:

∇⋅E=ρ/ε₀,
∇×E=-∂B/∂t
∇⋅B=0
∇×B=ε₀μ₀(∂E/∂t)+μ₀J

Continuity Equation:

∇⋅J +∂ρ/∂t = 0

The Attempt at a Solution

I have no idea how to even start this problem. I'm so lost, please help!

 

[Orodruin]

Forum rules require you to make an attempt at solving the problem. Your relevant equations are fine, so why do you not try to use those to get to what you want to show?