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Solve the initial value problem. y" – 2y' + 2y = e='; y(0) = 0, y' (0) = 4

Solve the initial value problem. y" – 2y' + 2y = e='; y(0) = 0, y' (0) = 4

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 initial value problem. y" – 2y + 2y = e"; y(0) = 0, y'(0) = 4
Transcribed Image Text:Solve the initial value problem. y" – 2y + 2y = e"; y(0) = 0, y'(0) = 4
Find y(t). 22 e sint 5 1 cost + y(t) = 1 22 Fe'sint 5 1 -e'cost +-e y(t) = 1 y(t) : 5 22 y(t) = -e'sint 5 22 Fe'sint + e'cost + ze 5 1 1 y(t) =
Transcribed Image Text:Find y(t). 22 e sint 5 1 cost + y(t) = 1 22 Fe'sint 5 1 -e'cost +-e y(t) = 1 y(t) : 5 22 y(t) = -e'sint 5 22 Fe'sint + e'cost + ze 5 1 1 y(t) =
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