Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy 1, 0 ≤x≤ 1 X> 1 dx y(x) = 4 2 -2 -4 Use a graphing utility to graph the continuous function y(x). y y + y = f(x), y(0) = 1, where f(x) = 2 I 1 2 0 ≤x≤1 2 X> 1 3 3 4 {}, 4 5 5 X X y 2 y 3 2 -2 1 1 2 2 3 3 4 4 5 5 X X

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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Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem.
dy
1, 0 ≤x≤ 1
X> 1
dx
y(x) =
4
2
-2
Use a graphing utility to graph the continuous function y(x).
y
-4
y
+ y = f(x), y(0) = 1, where f(x) =
2
1
2
0 ≤x≤1
2
x > 1
3
4
{_{;
4
5
5
X
X
y
2
y
3
2
-2
1
1
2
2
3
3
4
4
5
5
Xx
X
Transcribed Image Text:Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy 1, 0 ≤x≤ 1 X> 1 dx y(x) = 4 2 -2 Use a graphing utility to graph the continuous function y(x). y -4 y + y = f(x), y(0) = 1, where f(x) = 2 1 2 0 ≤x≤1 2 x > 1 3 4 {_{; 4 5 5 X X y 2 y 3 2 -2 1 1 2 2 3 3 4 4 5 5 Xx X
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