5. y" - y = 0; y(0) = 1, y'(0) = 0
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
Number 5 from 8.1 please show all work neatly please ?
Transcribed Image Text:EXERCISES 8.1
In Exercises 1-8, find the power series solution to the
initial value problem.
ly+y=0, y(0) = 2
3. y' = (2x - 2)y, y(1) = 1
2. y' = y, y(0) = −1
y+ (x + 1)² y = 0, y(-1) = 0
5. y" - y = 0; y(0) = 1, y'(0) = 0
6. y" +9y=0; y(0) = 0, y'(0) = 2
7. y"+y' = 0; y(0) = 1, y'(0) = -1
8. y" - xy' = 0; y(0) = 2, y'(0) = 1
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