Question: Suppose that 1 (x) and 2 (x) are both solutions to the Schrdinger equation for the same potential energy U(x). Prove that the

Suppose that ψ₁(x) and ψ₂(x) are both solutions to the Schrödinger equation for the same potential energy U(x). Prove that the superposition ψ(x) = Aψ₁(x) + Bψ₂(x) is also a solution to the Schrödinger equation.

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