In each of Problems 1 through 3, determine "(xo), ""(xo), and (4)(xo) for the given point xo if y = (x) is a solution of the given initial-value problem. 1. y"+xy + y= 0; y(0) = 1, y'(0) = 0 2. x²y" +(1+x)y' + 3(lnx) y =0; y(1) = 2, y(1) = 0 3. y"+x²y +(sin x) y = 0; y(0) = ao, y'(0) = a₁

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 3, Please.

In each of Problems 1 through 3, determine "(xo), "(xo), and
(4) (xo) for the given point xo if y = (x) is a solution of the given
initial-value problem.
1.
2.
3.
y" + xy + y = 0; y(0) = 1, y'(0) = 0
x²y" +(1+x) y' + 3(lnx) y = 0; y(1) = 2, y'(1) = 0
y" + x²y + (sin x) y =0; y(0)
y(0) = ao, y'(0) = a₁
Transcribed Image Text:In each of Problems 1 through 3, determine "(xo), "(xo), and (4) (xo) for the given point xo if y = (x) is a solution of the given initial-value problem. 1. 2. 3. y" + xy + y = 0; y(0) = 1, y'(0) = 0 x²y" +(1+x) y' + 3(lnx) y = 0; y(1) = 2, y'(1) = 0 y" + x²y + (sin x) y =0; y(0) y(0) = ao, y'(0) = a₁
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