Determine the solution of the integro-differential equation: Y -9y()+ 10 19sen(-8t) y(u)e* 4t -4u 'du -7cos(-8t)-e“ y(0) = 0 dt 2

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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Determine the solution of the integro-differential equation:
19sen(-8t)
Y -9y(t)+10 / y(u)e“
dt
4t -4u du
--7cos(-8t)-e“
2
y(0) =0
Answer:
y(t) =
Transcribed Image Text:Determine the solution of the integro-differential equation: 19sen(-8t) Y -9y(t)+10 / y(u)e“ dt 4t -4u du --7cos(-8t)-e“ 2 y(0) =0 Answer: y(t) =
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