All great advice above. Definitely not separation anxiety as elbrant says. It's normal. Practicing crate training a few hours a day at different times is important for when you need to run errands or if you travel with your dog. Mine whined a lot at first. He still doesn't like getting into the crate when he realizes that I'm on my way out (putting on coat, etc), but willingly goes in at our dinner time cause I feed him treats when he's in. We don't like him pestering while we eat. Feeding while in crate, and practicing rewards with the crate door OPEN the whole time, builds positive association with the crate, but a Basenji is smart enough to know the difference. In any case, it helps and the sooner you get started crate training and he or she learns to self-sooth and relax in the crate, the better.
K