Consider Euler' s ordinary differential equation with the boundary conditions for unknown function y(x) in 0SxSe-1, and A= const (1+x)y"-(1+x)y'+Ay=0; y(0)=y(e-1)%3D0 where 'prime' stands for...

1. Hint: use notation A=1+p2. Q. Find all eigenfunctions and eigenvalues for A<1. hint="" accept="" notation="" a="1-02" q:="" find="" all="" eigenvalues="" a,="" for="" a="">1. Hint: use notation A=1+p2. "/>
Extracted text: Consider Euler' s ordinary differential equation with the boundary conditions for unknown function y(x) in 0SxSe-1, and A= const (1+x)y"-(1+x)y'+Ay=0; y(0)=y(e-1)%3D0 where 'prime' stands for x-derivative, say, y' dy/dx. the multiple choice answers use notations: A= 7, nn =n², AA = 7, etc. O Find all the eigenfunctions y(x) for A=1 Q. Find all eigenfunctions y(x) for A>1. Hint: use notation A=1+p2. Q. Find all eigenfunctions and eigenvalues for A<1. hint="" accept="" notation="" a="1-02" q:="" find="" all="" eigenvalues="" a,="" for="" a="">1. Hint: use notation A=1+p2.