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t² y" + 4t² y' + 4t²y = e-2t

t² y" + 4t² y' + 4t²y = e-2t

Advanced Engineering Mathematics
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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Need help: Use variation of parameters to find the general solution of the following ODE & simplify your answers

(a) t² y" + 4t² y' + 4t²y = e−² -2t (b) t²y" — t (t+2) y' + (t + 2)y = 2t³ (assume t and tet are solutions of the homogeneous equation)
Transcribed Image Text:(a) t² y" + 4t² y' + 4t²y = e−² -2t (b) t²y" — t (t+2) y' + (t + 2)y = 2t³ (assume t and tet are solutions of the homogeneous equation)
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