4)- This problem unifies a lot of what you have learned this quarter. dy dy Consider...

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4)- This problem unifies a lot of what you have learned this quarter. d²y dy Consider the differential equation -2x + Ây = 0 dx dx which applies for - 0<x< +0. The above equation can be brought into the Sturm Liouville form when it is multiplied by some function. Find that function. And then write down the orthogonality condition for the eigenfunctions. Use a power series solution to find the eigenvalues under the condition that the normalization integral does not diverge. The normalization integral is : P[y,]°dx. SPly.Pdx. 4)- This problem unifies a lot of what you have learned this quarter. d²y dy Consider the differential equation -2x + Ây = 0 dx dx which applies for - 0<x< +0. The above equation can be brought into the Sturm Liouville form when it is multiplied by some function. Find that function. And then write down the orthogonality condition for the eigenfunctions. Use a power series solution to find the eigenvalues under the condition that the normalization integral does not diverge. The normalization integral is : P[y,]°dx. SPly.Pdx.