Alright, it must be a mistake then. We were given this question before learning the Schrodinger equation so it was impossible.
Edit: would I just use boundary conditions to solve for E in the time independent schrodinger equation?
For a particle with a force acting on it whose potential is given by U(x) = g*lnx for x>1 and U(x) = ∞ for x = 1, how do I calculate the ground state energy of the particle?
Supposedly, there is no need to use Schrodinger's equations for this question, which is why I have no idea how to start...