Need help with 13 and 14 Find dy/dx in Exercises 1-6.1. y = x%43. y = 7Vx + 65. y = x(x² + 1)/22. y = V2x4. y = (1 – 6x)/36. y = x(x² + 1)-1/2Find the first derivatives of the functions in Exercises 7-12.7. s = V7?9. y = sin ((2t + 5)-23)11. g(x) = 2(2x¬1/2 + 1)¬1/38. r = Vo-310. f(x) = V1 – Vx12. h(0) = V1 + cos (20)Differentiating ImplicitlyUse implicit differentiation to find dy/dx in Exercises 13-22.13. x²y + xy2 = 615. x – xy + y' = 114. 2xy + y² = x + y16. x(x – y)? = x² – y?17. y? = * – 1x + 118. x2 = *- yx + y%3D19. x = tan y20. x + sin y = xy()21. y sin= 1- xy22. y cos= 2x + 2y117

Name: Need help with 13 and 14 Find dy/dx in Exercises 1-6.1. y = x%43. y =
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Description: Need help with 13 and 14 Find dy/dx in Exercises 1-6.1. y = x%43. y = 7Vx + 65. y = x(x² + 1)/22. y = V2x4. y = (1 – 6x)/36. y = x(x² + 1)-1/2Find the first derivatives of the functions in Exercises 7-12.7. s = V7?9. y = sin ((2t + 5)-23)11. g(x) = 2

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Answered: 13. x²y + xy? = 6 14. 2xy + y² =x+ y…

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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Need help with 13 and 14

Find dy/dx in Exercises 1-6.
1. y = x%4
3. y = 7Vx + 6
5. y = x(x² + 1)/2
2. y = V2x
4. y = (1 – 6x)/3
6. y = x(x² + 1)-1/2
Find the first derivatives of the functions in Exercises 7-12.
7. s = V7?
9. y = sin ((2t + 5)-23)
11. g(x) = 2(2x¬1/2 + 1)¬1/3
8. r = Vo-3
10. f(x) = V1 – Vx
12. h(0) = V1 + cos (20)
Differentiating Implicitly
Use implicit differentiation to find dy/dx in Exercises 13-22.
13. x²y + xy2 = 6
15. x – xy + y' = 1
14. 2xy + y² = x + y
16. x(x – y)? = x² – y?
17. y? = * – 1
x + 1
18. x2 = *- y
x + y
%3D
19. x = tan y
20. x + sin y = xy
()
21. y sin
= 1- xy
22. y cos
= 2x + 2y
117

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ISBN:

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