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4. 4y" +4y' +y = 3xe*

4. 4y" +4y' +y = 3xe*

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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just 4,6,and 16

In Problems I through 20, find a particular solution y, of the given equation. In all these problems, primes denote deriva- tives with respect to x. 1. y" + 16y=e³x 2. y" - y' - 2y = 3x+4 3. y'-y-6y=2 sin 3x 4. 4y" + 4y +y = 3xe² 6. 2y" +4y+7y=x² 8. y" - 4y = cosh 2x 5. y' + y² + y = sin²x 1. y – 4y = sinhx 9. y' +2y-3y=1+x² 10. y" +9y=2 cos 3x + 3 sin 3x 11. y 13. y' + 4y = 3x - 1 + 2y + 5y = e' sinx 12 y+y=2-sinx 14. y(4) -2y"+y=xe² 16. y" +9y=2x²e³x +5 15. y + 5y - y = 17 17. y' + y = sinx + x cos x thẻ tên 5 18 19. y) +2y + 2y = 3x² - 1 20₁²-y=e+7 just 4,6,and 16
Transcribed Image Text:In Problems I through 20, find a particular solution y, of the given equation. In all these problems, primes denote deriva- tives with respect to x. 1. y" + 16y=e³x 2. y" - y' - 2y = 3x+4 3. y'-y-6y=2 sin 3x 4. 4y" + 4y +y = 3xe² 6. 2y" +4y+7y=x² 8. y" - 4y = cosh 2x 5. y' + y² + y = sin²x 1. y – 4y = sinhx 9. y' +2y-3y=1+x² 10. y" +9y=2 cos 3x + 3 sin 3x 11. y 13. y' + 4y = 3x - 1 + 2y + 5y = e' sinx 12 y+y=2-sinx 14. y(4) -2y"+y=xe² 16. y" +9y=2x²e³x +5 15. y + 5y - y = 17 17. y' + y = sinx + x cos x thẻ tên 5 18 19. y) +2y + 2y = 3x² - 1 20₁²-y=e+7 just 4,6,and 16
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