Consider the eigenvalue problem y"+2y'+(lambda)y=0; y(0)=0, y'(1)=0. Show that the eigenvalues are all positive and that the nth positive eigenvalue is (lambda)n= an^2+1 with associated eigenfunction yn(x)= e^-x sin(anx) where anx is the nth positive root of tanz=z

Consider the eigenvalue problem y"+2y'+(lambda)y=0; y(0)=0, y'(1)=0. Show that the eigenvalues are all positive and that the nth positive eigenvalue is (lambda)n= an^2+1 with associated eigenfunction yn(x)= e^-x sin(anx) where anx is the nth positive root of tanz=z

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 66E: Show that A=[0110] has no real eigenvalues.

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