Directions: Determine whether the given first expression is the solution of the succeeding given ODE. 1. y = cie²x + cze-³x => y"+y'-6y=0 2. y ci cos 3x + c2 sin 3x => y" +9y=9 3. y=C1x² + C2x³ => x²y" - 4xy' + 6y = 0 4. y=c₁ex + c₂e²x + c3e³x => y" - 6y" + 11y' - 6y=0 5. y = C₁ cos (21nx) + c2 sin (21n x) => x²y"+ xv' + 4y = 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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PT 2
Directions: Determine whether the given first expression is the solution of the succeeding given ODE.
1. y=c1e²x + cze-3x => y"+y' - 6y=0
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=c1e²x + cze-3x => y"+y' - 6y=0 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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