Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP)
Conflict NMAC
Flight Crew Took Evasive Action
Leveling 10;000 feet on departure; aircraft from behind/below climbed to less than 500 feet of our aircraft and caused climbing RA. We executed climbing RA and advised ATC. ATC gave us climb to 17;000 feet and told Falcon jet to level at 10;000 feet.
Air carrier flight crew had an NMAC with a Falcon jet during departure from DFW airport.