ΔE 24.8, loose: different enough that you should pick on purpose. Bile Green is a little lighter, much more saturated, cooler than Dorn Yellow.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Bile Green is a little lighter, much more saturated, cooler than Dorn Yellow.
The same difference applies the other way round: Dorn Yellow is a little darker, much more muted, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Dorn Yellow on the colour wheel See Bile Green on the colour wheel
All matches: Dorn Yellow equivalents · Bile Green equivalents