Solve the given initial-value problem. dy + · P(x)y = ex, y(0) = -1, where dx P(X) = {_1. 1, 0 ≤ x < 1 -1, x ≥ 1
Solve the given initial-value problem. dy + · P(x)y = ex, y(0) = -1, where dx P(X) = {_1. 1, 0 ≤ x < 1 -1, x ≥ 1
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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Transcribed Image Text:Solve the given initial-value problem.
y(x) =
dy + P(x)y = ex, y(0) = -1, where
dx
et
2
xet
-
7
2et
1
tết
+
2
X
7
2et
P(x)
et
=
{
1,
-1,
0 ≤ x < 1
x ≥ 1
0 ≤ x < 1
x ≥ 1
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