2. Let (x) be a non-trivial solution of the differential equation y" + y = 0, x > 0. 1 + x2 Show that has infinitely many positive zeros.
2. Let (x) be a non-trivial solution of the differential equation y" + y = 0, x > 0. 1 + x2 Show that has infinitely many positive zeros.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Probably have to use the Sturm comparison theorem for this question, but I'm not sure which comparison function to pick.
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