Prove that the eigenvalue problem y''+ (lamba)y=0, y(0)=0, y(1)+y'(1)=0 has no negative eigenvalues. (Suggestion: Show graphically that the only root of the equation tanhz=-z is z=0.)
Prove that the eigenvalue problem y''+ (lamba)y=0, y(0)=0, y(1)+y'(1)=0 has no negative eigenvalues. (Suggestion: Show graphically that the only root of the equation tanhz=-z is z=0.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Prove that the eigenvalue problem y''+ (lamba)y=0, y(0)=0, y(1)+y'(1)=0 has no negative eigenvalues. (Suggestion: Show graphically that the only root of the equation tanhz=-z is z=0.)
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