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In Problems 1-26 find the orthogonal trajectories of the given family of curves.

In Problems 1-26 find the orthogonal trajectories of the given family of curves.

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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Can someone please help me solve this question I’m having a hard time .#15
In Problems 1-26 find the orthogonal trajectories of the given family of curves. 1. y = C₁x 3. y = C₁x² 5. C₁x² + y² = 1 7. y = c₁e * 9. y² = ₁x³ 11. y = 1 + ₁x 13. 2x² + y² = 4c₁x 15. y³ + 3x²y = C₁ 17. y 19. 4y + x² + 1 + c₁e²y = 0 1 21. y C1 1 + x² = In C₁x 23. sinh y = C 25. x¹/3+y¹/3 = C₁ 2. 3x + 4y = C₁ 4. y = (x - c₁)² 6. 2x² + y² = c² 8. y = ex 10. ya = c₁xb, a and b constants 1 + ₁x 1 - C₁x 14. x² + y² = 2c₁x 16. y² - x² = C₁ x³ 1 C₁ + x 20. y = -x - 1 + ce 22. y = ln(tan x + c₁) 12. y = 1 18. ya 24. y = C₁ sin x 26. x + y = C₁, a # 2
Transcribed Image Text:In Problems 1-26 find the orthogonal trajectories of the given family of curves. 1. y = C₁x 3. y = C₁x² 5. C₁x² + y² = 1 7. y = c₁e * 9. y² = ₁x³ 11. y = 1 + ₁x 13. 2x² + y² = 4c₁x 15. y³ + 3x²y = C₁ 17. y 19. 4y + x² + 1 + c₁e²y = 0 1 21. y C1 1 + x² = In C₁x 23. sinh y = C 25. x¹/3+y¹/3 = C₁ 2. 3x + 4y = C₁ 4. y = (x - c₁)² 6. 2x² + y² = c² 8. y = ex 10. ya = c₁xb, a and b constants 1 + ₁x 1 - C₁x 14. x² + y² = 2c₁x 16. y² - x² = C₁ x³ 1 C₁ + x 20. y = -x - 1 + ce 22. y = ln(tan x + c₁) 12. y = 1 18. ya 24. y = C₁ sin x 26. x + y = C₁, a # 2
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