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Exercises 1-15: For the given differential equation, (a) Determine the complementary solution. (b) Use the method of undetermined coefficients to find a particular solution. (c) Form the general solution. 1. y" – 4y = 41? 2. y" – 4y = sin 2t 3. y" + y = 8e' 4. y" + y = e' sin t 5. y" – 4y + 4y = e2t 6. y" – 4y' + 4y = 8 + sin 2t 7. y" + 2y' + 2y = t 10. y" + y' = 6t? 8. 2y" – 5y + 2y = te' 9. y" + 2y' + 2y = cost +e - 11. 2y" – 5y' + 2y = -6e/2 13. 9y" – 6y' + y = 9te/3 15. y" + 4y' + 5y = 2e-24 + cos t 12. y" + y' = cost 14. y" + 4y' + 5y = 5t +e-

Exercises 1-15: For the given differential equation, (a) Determine the complementary solution. (b) Use the method of undetermined coefficients to find a particular solution. (c) Form the general solution. 1. y" – 4y = 41? 2. y" – 4y = sin 2t 3. y" + y = 8e' 4. y" + y = e' sin t 5. y" – 4y + 4y = e2t 6. y" – 4y' + 4y = 8 + sin 2t 7. y" + 2y' + 2y = t 10. y" + y' = 6t? 8. 2y" – 5y + 2y = te' 9. y" + 2y' + 2y = cost +e - 11. 2y" – 5y' + 2y = -6e/2 13. 9y" – 6y' + y = 9te/3 15. y" + 4y' + 5y = 2e-24 + cos t 12. y" + y' = cost 14. y" + 4y' + 5y = 5t +e-

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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section 3.8

Exercises 1-15: For the given differential equation, (a) Determine the complementary solution. (b) Use the method of undetermined coefficients to find a particular solution. (c) Form the general solution. 1. y" – 4y = 41? 2. y" – 4y = sin 2t 3. y" + y = 8e' 4. y" + y = e' sin t 5. y" – 4y + 4y = e2t 6. y" – 4y' + 4y = 8 + sin 2t 7. y" + 2y' + 2y = t 8. 2y" – 5y + 2y = te' 9. y" + 2y' + 2y = cost +e - 10. y" + y' = 6t? 11. 2y" – 5y' + 2y = -6e/2 13. 9y" – 6y' + y = 9te/3 15. y" + 4y' + 5y = 2e-24 + cos t 12. y" + y' = cost 14. y" + 4y' + 5y = 5t +e-
Transcribed Image Text:Exercises 1-15: For the given differential equation, (a) Determine the complementary solution. (b) Use the method of undetermined coefficients to find a particular solution. (c) Form the general solution. 1. y" – 4y = 41? 2. y" – 4y = sin 2t 3. y" + y = 8e' 4. y" + y = e' sin t 5. y" – 4y + 4y = e2t 6. y" – 4y' + 4y = 8 + sin 2t 7. y" + 2y' + 2y = t 8. 2y" – 5y + 2y = te' 9. y" + 2y' + 2y = cost +e - 10. y" + y' = 6t? 11. 2y" – 5y' + 2y = -6e/2 13. 9y" – 6y' + y = 9te/3 15. y" + 4y' + 5y = 2e-24 + cos t 12. y" + y' = cost 14. y" + 4y' + 5y = 5t +e-
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