I'm having trouble figuring out how to solve this. I think I figured out some of it, but I don't understand it in general. I attached the problem as a jpeg. I'd appreciate seeing how to show the answer. You can ignore the pencil markings, they are notes to myself in trying to figure out the problem. Thanks.
Look at the vector identity for del of the cross product of two vectors with E and B the two vectors. the curl of B has the time derivitive of E and ...