Solve. S1 for 0 5 y" – 3y' + 2y y(0) = y' (0) = 0 The solution can be written as y(t) = f(t)u9(t) – g(t)u;(t). Find f(t) and g(t). f(t) = Preview g(t) : Preview

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.
1 for 0 <t < 5
0 for t > 5
у" — Зу' + 2у —
y(0) = y' (0) = 0
The solution can be written as y(t) = f(t)uo(t) – g(t)u(t).
Find f(t) and g(t).
f(t)
Preview
g(t) =
Preview
Transcribed Image Text:Solve. 1 for 0 <t < 5 0 for t > 5 у" — Зу' + 2у — y(0) = y' (0) = 0 The solution can be written as y(t) = f(t)uo(t) – g(t)u(t). Find f(t) and g(t). f(t) Preview g(t) = Preview
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