Disentangle vs Detangle - What's the difference?

In transitive terms the difference between disentangle and detangle

is that disentangle is to unravel a mystery etc while detangle is to disentangle .

(disentangl)

To free something from entanglement; to extricate or unknot

I had to disentangle him from his own shoelaces.

To unravel a mystery etc

To become free or untangled

(detangl)

To disentangle (especially hair).

* detangler