Looks fine.. The very first leaves(cotyledon) Alway die off, they are there to produce food for the plant so she can get off to a good start.. They always die off, you plant looks fine... If the new green foliage looks fine, I wouldn't worry.. Water thoroughly, then le it dry out.. You want it like a consistency of a rung out sponge.. It seems like your growing them fine, get on growing my friend!

Joe

Thanks for the comments! Heres a follow up pic of how well Rosa Bianca eggplants are doing!!!So many blossoms on each plant!