Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy - + y = f(x), y(0) = 1, where f(x) = {_1₁ 1, 0≤x≤ 1 x > 1 dx y(x) = O Use a graphing utility to graph the continuous function y(x). y 4 2 y 2 1 2 0 ≤ x ≤ 1 2 , x> 1 3 4 4 5 5 X X 2 0-2 1 2 3 4 5 y 3 2 1 2 3 4 5 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem.
dy
+y = f(x), y(0) = 1, where f(x) = { f 1, 0 < x < 1
dx
1-1,
× > 1
y(x) =
y
Use a graphing utility to graph the continuous function y(x).
4
2
-2
-4
y
2
1
-1
1
2
, 0 < x < 1
2
, X > 1
3
4
4
5
5
X
X
y
2
1
3
4
5
X
y
3
2
1
-1
-2
-3-
1
2
3
4
X
Transcribed Image Text:Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy +y = f(x), y(0) = 1, where f(x) = { f 1, 0 < x < 1 dx 1-1, × > 1 y(x) = y Use a graphing utility to graph the continuous function y(x). 4 2 -2 -4 y 2 1 -1 1 2 , 0 < x < 1 2 , X > 1 3 4 4 5 5 X X y 2 1 3 4 5 X y 3 2 1 -1 -2 -3- 1 2 3 4 X
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