Solve the given initial-value problem. y(x) = 15 Use a graphing utility to graph the solution curve. y 10 5 y 15 xy" + y = x, y(1) = 5, y'(1) = 10 1 2 2 3 3 4 4 5 5 6 5 6 7 X X y 15 10 5 y 15 10 1 1 2 2 3 3 4 4 5 5 6 ▬▬▬▬ 6 7 7 X X

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
Solve the given initial-value problem.
y(x):
=
O
Use a graphing utility to graph the solution curve.
y
15
10
5
y
15
10
xy"+y' = x, y(1) = 5, y'(1) :
=
5
1
1
2 3 4
2
3
4
-1/2
5 6
5
6
7
X
X
y
15
10
y
15
10
1 2
1
2
3
3
4 5
4
5
6
7
6 7
X
X
Transcribed Image Text:Solve the given initial-value problem. y(x): = O Use a graphing utility to graph the solution curve. y 15 10 5 y 15 10 xy"+y' = x, y(1) = 5, y'(1) : = 5 1 1 2 3 4 2 3 4 -1/2 5 6 5 6 7 X X y 15 10 y 15 10 1 2 1 2 3 3 4 5 4 5 6 7 6 7 X X
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