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In Problems 1-30 find a second solution of each differential equation. Use reduction of order or formula (4) as instructed. Assume an appropriate inter- val of validity. 1. y″ + 5y' = 0;_y₁ = 1 2. y" — y' = 0; _y₁ = 1 3. y" - 4y + 4y = 0; y₁ = e

In Problems 1-30 find a second solution of each differential equation. Use reduction of order or formula (4) as instructed. Assume an appropriate inter- val of validity. 1. y″ + 5y' = 0;_y₁ = 1 2. y" — y' = 0; _y₁ = 1 3. y" - 4y + 4y = 0; y₁ = e

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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In Problems 1-30 find a second solution of each differential equation. Use reduction of order or formula (4) as instructed. Assume an appropriate inter- val of validity. 1. y" + 5y' = 0; y₁ = 1 2. y" - y' = 0; y₁ = 1 3. y" - 4y + 4y = 0; y₁ = e²x
Transcribed Image Text:In Problems 1-30 find a second solution of each differential equation. Use reduction of order or formula (4) as instructed. Assume an appropriate inter- val of validity. 1. y" + 5y' = 0; y₁ = 1 2. y" - y' = 0; y₁ = 1 3. y" - 4y + 4y = 0; y₁ = e²x
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