you don't have to compute anything about the constant vectors; any value they assume will describe such a curve, and vice versa.
I know the solution is a helix, but it's proving it that's the hard part.Describe all curves in with constant curvature and constant torsion .
So the first thing I did was use the Frenet Equations,
Differentiating we get:
The solution to this ODE is
Now I can integrate twice to get the parametrisation, but how do I solve for the constant vectors and stuff?