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I think the two angular equations on page 136 and the radial equation are important since we can use them to find probabilities of finding a particle in a sphere. also since the wave function is a separable functions we should be able to find radial probability density and angular probability density; for example the probability of finding the particle in the volume between r and r+dr.I think for this reasons and the fact that quantum mechanics is all about probabilities, these three equations are of importance.
Also from chapter 3 i would put down equation 3.71. there was a few homework problem that we had to use this for.