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Solve the equations in Exercises 1-16 by the method of undetermined coefficients. 1. y" 3y - 10y = -3 2. y" 3y 10y = 2x - 3 3. y" y sin x 4. y" + 2y + y = x² 5. y" + y = cos 3x 6. y" + y = e²r 8. y" + y = 2x + 3e* 7. yy' - 2y = 20 cos x 9. y" - y = e* + x² 10. y" + 2y + y = 6 sin 2x 11. yy' 6y - 7 cos x 12. y" + 3y + 2y = e* + e- ²x - x d²y dy 13. +5- dx 15x² 14. -8x + 3 dy 15. 12x 16. 42x² + 5x + 1 dx dx² dx² $/ dx = dy dx +7-

Solve the equations in Exercises 1-16 by the method of undetermined coefficients. 1. y" 3y - 10y = -3 2. y" 3y 10y = 2x - 3 3. y" y sin x 4. y" + 2y + y = x² 5. y" + y = cos 3x 6. y" + y = e²r 8. y" + y = 2x + 3e* 7. yy' - 2y = 20 cos x 9. y" - y = e* + x² 10. y" + 2y + y = 6 sin 2x 11. yy' 6y - 7 cos x 12. y" + 3y + 2y = e* + e- ²x - x d²y dy 13. +5- dx 15x² 14. -8x + 3 dy 15. 12x 16. 42x² + 5x + 1 dx dx² dx² $/ dx = dy dx +7-

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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Solve the equations in Exercises 1-16 by the method of undetermined coefficients. 1. y" 3y 10y = -3 2. y" - 3y' 10y = 2x - 3 3. yy' sin x 4. y" + 2y + y = x² 5. y" + y = cos 3x 6. y" + y = ²x 7. yy' - 2y = 20 cos x 8. y + y 2x + 3e* 9. y" - y = e* + x² 10. y" + 2y + y 11. yy' 6y = ex 7 cos x 12. y" + 3y + 2y = e* + e- 2x - x d'y dy 13. 5- = 15x² 14. dx dx² dx d²y dy 15. 16. dx² dx² dx 12x 6 sin 2x || -8x + 3 +7+ 42x² + 5x + 1 - dx
Transcribed Image Text:Solve the equations in Exercises 1-16 by the method of undetermined coefficients. 1. y" 3y 10y = -3 2. y" - 3y' 10y = 2x - 3 3. yy' sin x 4. y" + 2y + y = x² 5. y" + y = cos 3x 6. y" + y = ²x 7. yy' - 2y = 20 cos x 8. y + y 2x + 3e* 9. y" - y = e* + x² 10. y" + 2y + y 11. yy' 6y = ex 7 cos x 12. y" + 3y + 2y = e* + e- 2x - x d'y dy 13. 5- = 15x² 14. dx dx² dx d²y dy 15. 16. dx² dx² dx 12x 6 sin 2x || -8x + 3 +7+ 42x² + 5x + 1 - dx
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