1. The problem statement, all variables and given/known data Given an electric field in a vacuum: E(t,r) = (E0/c) (0 , 0 , y/t2) use Maxwell's equations to determine B(t,r) which satisfies the boundary condition B -> 0 as t -> ∞ 2. Relevant equations The problem is in a vacuum so in the conventional notation J = 0 and ρ = 0 (current density is zero and charge density is zero). Maxwell's equations are reduced to: Div(E) = 0 Div(B) = 0 Curl(E) = -∂B/∂T Curl(B) = μ0ε0∂E/∂t 3. The attempt at a solution I've been given E so taking the curl of it I get Curl E = (E0/c) (t-2 , 0 , 0) So using the third Maxwell Equation I get ∂B/∂T = -(E0/c) (t-2 , 0 , 0) But this is a partial differential. When I integrate the components of the vector with respct to t, I have to add functions of x,y,z. So B = E0/c (1/t + f(x,y,z) , g(x,y,z) , h(x,y,z) ) Taking the curl of this vector is tricky but I'll give it a go. Setting the curl of my B vector above to equal ε0μ0E I get a big mess of partial derivatives of f(x,y,x), g(x,y,z) and h(x,y,z) equaling my original E vector, which two of its components are zero and one is yt-2 Help please?