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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
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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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
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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