The terminology can be confusing, and I suspect the question you meant to ask was: what is the difference between the **neural tube** and **dorsal nerve cord**?
In vertebrates, the neural tube and the dorsal nerve cord are two names for the same structure. It develops into the brain and spinal cord.
> Neurulation occurs during the early embryogenesis of chordates, and it results in the formation of the _neural tube, a dorsal hollow nerve cord_ that constitutes the rudiment of the entire adult central nervous system.
Source: Colas J-F and Schoenwolf GC. Towards a cellular and molecular understanding of neurulation. _Developmental Dynamics_. 2001. vol 221(2): 117–145.
This differs from invertebrates, some of which have a **ventral nerve cord** that does not invaginate and form a neural tube. As the name suggests, in contrast to vertebrates the nerve cord in these species is located ventrally.
**In summary:**
Dorsal nerve cord = neural tube
Ventral nerve cord ≠ neural tube