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One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We now have looked at eigenvalue techniques for solving boundary value problems involving linear ordinary differential equations. The claim was made that there were strong parallels between eigenvalue problems for these two different types of problems. • How would you describe the similarities? • What is your understanding of the significance of both linear algebraic and linear ODE's qualifying as linear operators?

One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We now have looked at eigenvalue techniques for solving boundary value problems involving linear ordinary differential equations. The claim was made that there were strong parallels between eigenvalue problems for these two different types of problems. • How would you describe the similarities? • What is your understanding of the significance of both linear algebraic and linear ODE's qualifying as linear operators?

Calculus For The Life Sciences
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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One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We now have looked at eigenvalue techniques for solving boundary value problems involving linear ordinary differential equations. The claim was made that there were strong parallels between eigenvalue problems for these two different types of problems. • How would you describe the similarities? • What is your understanding of the significance of both linear algebraic and linear ODE's qualifying as linear operators?
Transcribed Image Text:One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We now have looked at eigenvalue techniques for solving boundary value problems involving linear ordinary differential equations. The claim was made that there were strong parallels between eigenvalue problems for these two different types of problems. • How would you describe the similarities? • What is your understanding of the significance of both linear algebraic and linear ODE's qualifying as linear operators?
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