the equations are probably pretty difficult since you'll need a whole bunch of intial conditions to solve anything. there are probably more variables in there too, like the tail rotor and its properties, air density at particular elevations.
If you could actually make a good helicopter simulation, you'd probably want to go get lockheed or whatever helicopter company to hire you.
if you want things basic, you could just say that the rotors create a force F and totally work with that. then you can model it with simple trig.
If you want to take into account all those other secondary effects, then you'd probably need at least a course in fluids and probably a few courses in differential equations and vector calculus. Just using constants probably won't cut it.
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