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Solve the initial value problems given in Problems 21 through 26. 21. y"-4y' + 3y = 0; y(0) = 7, y'(0) = 11 22. 9y" + 6y + 4y = 0; y(0) = 3, y'(0) = 4 23. y"-6y +25y = 0; y(0) = 3, y'(0) = 1 24. 2y(3)-3y"-2y' = 0; y(0) = 1, y'(0) = -1, y"(0) = 3 25. 3y (3) + 2y" = 0; y(0) = -1, y'(0) = 0, y" (0) = 1 26. y(3) +10y" +25y' = 0; y(0) = 3, y'(0) = 4, y" (0) = 5

Solve the initial value problems given in Problems 21 through 26. 21. y"-4y' + 3y = 0; y(0) = 7, y'(0) = 11 22. 9y" + 6y + 4y = 0; y(0) = 3, y'(0) = 4 23. y"-6y +25y = 0; y(0) = 3, y'(0) = 1 24. 2y(3)-3y"-2y' = 0; y(0) = 1, y'(0) = -1, y"(0) = 3 25. 3y (3) + 2y" = 0; y(0) = -1, y'(0) = 0, y" (0) = 1 26. y(3) +10y" +25y' = 0; y(0) = 3, y'(0) = 4, y" (0) = 5

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 25CR
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5.3 Problems Find the general solutions of the differential equations in Prob- lems 1 through 20. 1. y" - 4y = 0 3. y" + 3y - 10y = 0 5. y" + 6y' +9y = 0 7. 4y"-12y +9y=0 9. " + 8y +25y = 0 11. y(4)-8y (3) + 16y" = 0 12. y(4) 3y (3) + 3y" - y = 0 13. 9y(3) + 12y" + 4y = 0 15. y(4)-8y"+16y = 0 17. 6y(4) + 11y" + 4y = 0 19. y(3)+y"-y'-y=0 20. y(4) +2y (3) + 3y" + 2y + y = 0 (Suggestion: Expand (r² +r+ 1)².) 2. 2y"-3y = 0 4. 2y"-7y' + 3y = 0 6. y" + 5y + 5y = 0 8. y"-6y + 13y = 0 10. 5y (4) + 3y (3) = 0 14. y(4) + 3y"-4y = 0 16. (4) + 18y" +8ly = 0 18. y(4) 16y = Solve the initial value problems given in Problems 21 through 26. 21. y" - 4y + 3y = 0; y(0) = 7, y'(0) = 11 22. 9y" + 6y + 4y = 0; y(0) = 3, y'(0) = 4 23. y"-6y + 25y = 0; y(0) = 3, y'(0) = 1 24. 2y(3)-3y"-2y' = 0; y(0) = 1, y'(0) = -1, y"(0) = 3 25. 3y(3) + 2y" = 0; y(0) = -1, y'(0) = 0, y"(0) = 1 26. y(3) +10y" + 25y' = 0; y(0) = 3, y'(0) = 4, y" (0) = 5
Transcribed Image Text:5.3 Problems Find the general solutions of the differential equations in Prob- lems 1 through 20. 1. y" - 4y = 0 3. y" + 3y - 10y = 0 5. y" + 6y' +9y = 0 7. 4y"-12y +9y=0 9. " + 8y +25y = 0 11. y(4)-8y (3) + 16y" = 0 12. y(4) 3y (3) + 3y" - y = 0 13. 9y(3) + 12y" + 4y = 0 15. y(4)-8y"+16y = 0 17. 6y(4) + 11y" + 4y = 0 19. y(3)+y"-y'-y=0 20. y(4) +2y (3) + 3y" + 2y + y = 0 (Suggestion: Expand (r² +r+ 1)².) 2. 2y"-3y = 0 4. 2y"-7y' + 3y = 0 6. y" + 5y + 5y = 0 8. y"-6y + 13y = 0 10. 5y (4) + 3y (3) = 0 14. y(4) + 3y"-4y = 0 16. (4) + 18y" +8ly = 0 18. y(4) 16y = Solve the initial value problems given in Problems 21 through 26. 21. y" - 4y + 3y = 0; y(0) = 7, y'(0) = 11 22. 9y" + 6y + 4y = 0; y(0) = 3, y'(0) = 4 23. y"-6y + 25y = 0; y(0) = 3, y'(0) = 1 24. 2y(3)-3y"-2y' = 0; y(0) = 1, y'(0) = -1, y"(0) = 3 25. 3y(3) + 2y" = 0; y(0) = -1, y'(0) = 0, y"(0) = 1 26. y(3) +10y" + 25y' = 0; y(0) = 3, y'(0) = 4, y" (0) = 5
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