Here is a schematic that may work depending upon theenergy of the 5mS pulse. I used a comos 555 as a 5mS one shot from my function generator to trigger it. You will notice that the power for the 555 is also obtained from the 5mS pulse.
I have used this circuit on occasion with the input + terminal going to +Vcc. On power up it generates a short + trigger.
Correction: The two capacitors on pins 6&7 and pin 2 should be reversed. The .01uf should be on pin 2 and the 0.1uF should be on pins 6&7. And the 13K and the 10K should be exchanged.