.Plug the derivatives into Schrodinger's Equation: aΨ =-aBe-ar 2Ψ ar dr2 -a"Be-ar 8mn2 e2 2 a"Be ar-2aBe ar+ h2 Be ar- -8mat h2 EBe-ar r 4eo .Cancel Beur:a2-2a+ 8m2 e2 2 -8mat E h2 h2 .Combining similar terms gives: 2 O+ h2 -2d =0 r These sum to zero for all r only if both terms are zero I-8Plug the derivatives into Schrödinger’s Equation: Cancel Be-αr : These sum to zero for all r only if both terms are zero Combining similar terms gives: ∂2Ψ ∂r 2 = α2 Be−αr ∂Ψ ∂r = −αBe−αr α 2 Be -α r - 2 r α Be -α r + 8 m π 2 h 2 e 2 Be -α r = -8 m π 2 h 2 EBe -α r 4πεo r α 2 - 2 r α + 8 m π 2 h 2 = -8 m π 2 h 2 E e 2 4πεo r α 2 + 8 m π 2 h 2 E       + 1 r    - 2 α    = 0 2 e 2 m π h 2 εo III-8