What is the allowable eigenvalue and eigenfunction

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Reference no: EM132378589

Consider the following eigenvalue problem

d/dx(x^3*dy/dx)+xy+(lamda*x)*y=0, x belongs to (1,e), y(1)=y(e)=0.

a) what is the allowable eigenvalue and eigenfunction?

b) what is the inner product associated with these eigenfunctions?

c) use the eigenfunctions to expand the function f(x)=ln(x)/x. (please make sure to write complete step with reasoning)

Reference no: EM132378589

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