Find the first three positive values of for which the
Chapter 6, Problem 47E(choose chapter or problem)
Find the first three positive values of \(\lambda\) for which the problem
\(\left(1-x^{2}\right) y^{\prime \prime}-2 x y^{\prime}+\lambda y=0\)
\(y(0)=0, \quad y(x), y^{\prime}(x) \text { bounded on }[-1,1]\)
has nontrivial solutions.
Text Transcription:
lambda
(1-x^2)y^prime\prime-2 x y^prime+lambday=0
y(0)=0,y(x),y^prime(x)boundedon[-1,1]
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