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Directions: Determine whether the given first expression is the solution of the succeeding given ODE. 1. 2. y = c1 cos 3x + c2 sin 3x => y" +9y=9

Directions: Determine whether the given first expression is the solution of the succeeding given ODE. 1. 2. y = c1 cos 3x + c2 sin 3x => y" +9y=9

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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PT 2 Directions: Determine whether the given first expression is the solution of the succeeding given ODE. 1. y 2. y = C1 cos 3x + c2 sin 3x => y" +9y=9 3. y = C1x² + C2x³ => x²y" - 4xy' + 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 2. y = C1 cos 3x + c2 sin 3x => y" +9y=9 3. y = C1x² + C2x³ => x²y" - 4xy' + 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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