please help with part C and D

2. In class we solved the harmonic oscillator problem. The wavefunctions are v(x)=NvHv(y)e2y2 where v=0,1,2, Using the general expression for Hv(y) we obtained H0=1 and H1=2y. We also indicated the Hermite polynomials Hv(y) have the following recursion relationship: Hv+1(y)=2yHv(y)2vHv1(y) Given Nv=(1/22vv!)21 a. Use this information to obtain 2(y) and 3(y). b. Determine the nodes in these wavefunctions 2(y) nodes: 3(y) nodes: c. Determine the points of maximum probabilities for 2(y). d. determine the classical turning point for 0(y),1(y),2(y), and 3(y). There is a trend. Indicate what happens as v increases and why. 2. In class we solved the harmonic oscillator problem. The wavefunctions are v(x)=NvHv(y)e2y2 where v=0,1,2, Using the general expression for Hv(y) we obtained H0=1 and H1=2y. We also indicated the Hermite polynomials Hv(y) have the following recursion relationship: Hv+1(y)=2yHv(y)2vHv1(y) Given Nv=(1/22vv!)21 a. Use this information to obtain 2(y) and 3(y). b. Determine the nodes in these wavefunctions 2(y) nodes: 3(y) nodes: c. Determine the points of maximum probabilities for 2(y). d. determine the classical turning point for 0(y),1(y),2(y), and 3(y). There is a trend. Indicate what happens as v increases and why