Oxygen is very flammable. Whether or not particular types of equipment would explode depends on the equipment and how near the flame is. Always read all cautionary literature with any specialized equipment.
Oxygen equipment is used for individuals who need oxygen therapy. These are people who have loss of lung capacity for various reasons such as illness, age, or injury.
A fire needs three things, air, fuel, heat. The more pure the air is, without contaminates, the better the burn. Pure fuel and a hotter heat source will also add to the flames heat.