2. Solve for the Advanced retarded Greens function for the system F"(t)+wo² F(t) = S(t). Recall, that the retarded Green's function satisfies Gadv( t- t)=0 if t-t> 0. Prove that your result is correct. Use the Greens function approach to solve for the case S(t) = exp(-t), where you want F(0) =1, and F'(0) = 1. Let wo² = 1. %3D

2. Solve for the Advanced retarded Greens function for the system F"(t)+wo² F(t) = S(t). Recall, that the retarded Green's function satisfies Gadv( t- t)=0 if t-t> 0. Prove that your result is correct. Use the Greens function approach to solve for the case S(t) = exp(-t), where you want F(0) =1, and F'(0) = 1. Let wo² = 1. %3D

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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Question

2. Solve for the Advanced retarded Greens function for the system F"(t)+wo² F(t) = S(t). Recall,
that the retarded Green's function satisfies Gadv( t- t)=0 if t-t>0. Prove that your result is
correct. Use the Greens function approach to solve for the case S(t) = exp(-t), where you want
F(0) =1, and F'(0) = 1. Let wo² = 1.
3. Use the variation of parameters method to solve problem 2.

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