Please answer and show all work:

Show that the radial wave function Ra,(r) = Arte 7\\380) satisfies the following equation 1 d 2 dR 72 dr 2u E - V_ he ( 8 + 1) R = 0 2 for f = 2, by performing the following steps. (Use the following as necessary: r, A, a,, it and u.) First, calculate /2 32 dr Second, calculate dadR.32 dr Third, calculate 24 vir) + hee(e + 1) ] R 32 1 d /2 dR. 32 2ur-2 Fourth, calculate 1 V (r ) + hae (6 + 1 ) 1 d 2 JR. 32 R. 32 2ur2 R 32 dr Finally, calculate = = - [vir ) hee(e + 1) ] 12 d(298 32 R. 32 R32 dr 2ur-2 2up2