Essentially, normalizing the wave function means you find the exact form of that ensure the probability that the particle is found somewhere in space is equal to 1 (that is, it will be found somewhere); this generally means solving for some constant, subject to the above constraint that the probability is equal to 1.

Why do we need to normalize a wave function?

Since wavefunctions can in general be complex functions, the physical significance cannot be found from the function itself because the √−1 is not a property of the physical world.

Why is it important for a wave function to be normalized is an unnormalized wave function a solution to the SCHR Odinger equation?

Why is it important for a wave function to be normalized? Is an unnormalized wave function a solution to the Schrödinger equation? The absolute magnitude is needed to make the probability everywhere positive.