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Solve the following initial value problem −y" -y + 3y - 2y = tet, y(0) = 0 and y' (0) = -2. O O 1 3 5 36 5 e 5 36 e 36 e -et - - e-t 6 + e-tt 6 e-tt 6 e-tt² 6 9 + 9 Zet 4 9 - e 9 et 4 - 12t 9 19 9 19 9 91 9 2t 4t e e -2t

Solve the following initial value problem −y" -y + 3y - 2y = tet, y(0) = 0 and y' (0) = -2. O O 1 3 5 36 5 e 5 36 e 36 e -et - - e-t 6 + e-tt 6 e-tt 6 e-tt² 6 9 + 9 Zet 4 9 - e 9 et 4 - 12t 9 19 9 19 9 91 9 2t 4t e 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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Solve the following initial value problem -y" + 3y - 2y = te-t, 1 3 5 LO 5 36 e 36 e 5 36 -e t e - e 6 y(0) = 0 and y' (0) 9 t + eº е 4 e-tt 6 e-tt 6 e-tt2 6 + + + 9 9 4 e 9 ·e` 4 e 1 2t ·e 9 19 9 19 9 91 9 2t 4t e e - 2t = -2.
Transcribed Image Text:Solve the following initial value problem -y" + 3y - 2y = te-t, 1 3 5 LO 5 36 e 36 e 5 36 -e t e - e 6 y(0) = 0 and y' (0) 9 t + eº е 4 e-tt 6 e-tt 6 e-tt2 6 + + + 9 9 4 e 9 ·e` 4 e 1 2t ·e 9 19 9 19 9 91 9 2t 4t e e - 2t = -2.
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