Find an infinite series solution of the initial value problem d²y dy te-t dt2 + y = sin(t) , y(0) = 5, y'(0) = 2 dy in the powers of t up to t °

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
Find an infinite series solution of the initial
value problem
d²y
dy
te-t
dt2
+ y = sin(t), y(0) = 5, y'(0) = 2
dy
in the powers of t up tot³
Transcribed Image Text:Find an infinite series solution of the initial value problem d²y dy te-t dt2 + y = sin(t), y(0) = 5, y'(0) = 2 dy in the powers of t up tot³
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