4. y = C1ex + c2e²x + c3e³x => y" - 6y" + 11y' - 6y= 0 5. y c₁ cos (21nx) + c2 sin (2ln x) => x²y"+ xy' + 4y = 0

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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Please answer the last items 4-5 only
PT 2
Directions: Determine whether the given first expression is the solution of the succeeding given ODE.
1. y=₁²
2. y
3.
v" +9y = 9
Avv' + 6y
= 0
4. y = C₁e* + Cze²x + c3e³x => y" - 6y" + 11y' - 6y = 0
5. y = C₁ cos (21nx) + C₂ sin (2ln x] => x²y"+ xy' + 4y = 0
Transcribed Image Text:PT 2 Directions: Determine whether the given first expression is the solution of the succeeding given ODE. 1. y=₁² 2. y 3. v" +9y = 9 Avv' + 6y = 0 4. y = C₁e* + Cze²x + c3e³x => y" - 6y" + 11y' - 6y = 0 5. y = C₁ cos (21nx) + C₂ sin (2ln x] => x²y"+ xy' + 4y = 0
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