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In a certain region of space, a particle is described by the
wave function (x) = Cxe-bx where C and b are real con-
stants. By substituting into the Schrödinger equation, find
the potential energy in this region and also find the energy of
the particle. (Hint: Your solution must give an energy that
is a constant everywhere in this region, independent of x.)

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In step 5 when I apply the second derivative w.r.t. x, I still get my total energy in terms of an exponential. Could you show more work for step 5?

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