In Problems 1-32 solve the given differential equation by the method of un- determined coefficients. 1. y" - 9y = 54 2. 2y" -7y' + 5y = -29 CHAPTER 4 LINEAR DIFFERENTIAL EQUATIONS OF HIGHER ORDER 3. y" + y' = 3 5. y" + 4y' + 4y = 2x + 6 7. y"y" = 8x² 9. y" y' 12y = ex 11. y" - 2y' - 3y = 4e* - 9 13. y" + 25y = 6 sin x h 4. y" +2y" + y' = 10 6. y" + 3y' = 4x - 5 8. y" — 2y' + y = x³ + 4x 10. y" 2y' + 2y = 5e6x 12. y" + 6y' + 8y = 3e-2x + 2x 14. y" + 4y = 4 cos x + 3 sin x - 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In Problems 1-32 solve the given differential equation by the method of un-
determined coefficients.
1. y" - 9y = 54
2. 2y" -7y' + 5y = -29
CHAPTER 4 LINEAR DIFFERENTIAL EQUATIONS OF HIGHER ORDER
3. y" + y' = 3
5. y" + 4y' + 4y = 2x + 6
7. y"y" = 8x²
9. y" y' 12y = ex
11. y" - 2y' - 3y = 4e* - 9
13. y" + 25y = 6 sin x
h
4. y" +2y" + y' = 10
6. y" + 3y' = 4x - 5
8. y" — 2y' + y = x³ + 4x
10. y" 2y' + 2y = 5e6x
12. y" + 6y' + 8y = 3e-2x + 2x
14. y" + 4y = 4 cos x + 3 sin x - 8
Transcribed Image Text:In Problems 1-32 solve the given differential equation by the method of un- determined coefficients. 1. y" - 9y = 54 2. 2y" -7y' + 5y = -29 CHAPTER 4 LINEAR DIFFERENTIAL EQUATIONS OF HIGHER ORDER 3. y" + y' = 3 5. y" + 4y' + 4y = 2x + 6 7. y"y" = 8x² 9. y" y' 12y = ex 11. y" - 2y' - 3y = 4e* - 9 13. y" + 25y = 6 sin x h 4. y" +2y" + y' = 10 6. y" + 3y' = 4x - 5 8. y" — 2y' + y = x³ + 4x 10. y" 2y' + 2y = 5e6x 12. y" + 6y' + 8y = 3e-2x + 2x 14. y" + 4y = 4 cos x + 3 sin x - 8
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