Number 5 from 8.1 please show all work neatly please ? EXERCISES 8.1In Exercises 1-8, find the power series solution to theinitial value problem.ly+y=0, y(0) = 23. y' = (2x - 2)y, y(1) = 12. y' = y, y(0) = −1y+ (x + 1)² y = 0, y(-1) = 05. y" - y = 0; y(0) = 1, y'(0) = 06. y" +9y=0; y(0) = 0, y'(0) = 27. y"+y' = 0; y(0) = 1, y'(0) = -18. y" - xy' = 0; y(0) = 2, y'(0) = 1

Answered: 5. y" - y = 0; y(0) = 1, y'(0) = 0

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5. y" - y = 0; y(0) = 1, y'(0) = 0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...

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Question

Number 5 from 8.1 please show all work neatly please ?

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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