2. Consider the eigenvalue problem x²o" (x) + xo'(x)+ Aø(x) = 0, with O (1) = 0, and ø'(b) = 0, where b > 1. Show that all the eigenvalues are non-negative. Hint: Transform the problem to the Sturm-Liouville form by multiplying it by an appropriate function H(x). Recall that you did this in the previous homework.

2. Consider the eigenvalue problem x²o" (x) + xo'(x)+ Aø(x) = 0, with O (1) = 0, and ø'(b) = 0, where b > 1. Show that all the eigenvalues are non-negative. Hint: Transform the problem to the Sturm-Liouville form by multiplying it by an appropriate function H(x). Recall that you did this in the previous homework.

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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