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dy 10. x = y + Vr-y, x>0 dx

dy 10. x = y + Vr-y, x>0 dx

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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O Page view |A 1. (r- y) dr + x dy = 0 2. (r+ y) dx + x dy = 0 23. 3. x dx + (y- 2x) dy = 0 4. y dx = 2(x+ y) dy 5. (y + yx) dx- x dy = 0 25. 6. (y² + yx) dx + x dy = 0 dy 27. dx dr y + x In Prob dy 8. dx x+3y 3x + y 29. dr 9. -y dx + (x + Vxy) dy = 0 dy 30. 10. x dx = y + V - y, x>0 In Problems 11-14 solve the given initial-value problem. Discussi 31. Expla 11. ху- dy = y - x, y(1) = 2 dx neous the fo dx = xy, y(-1) = 1 dy 12. (x + 2y)- 13. (x+ ye) dx- xe dy 0. y(1) 0 You m 14. y dx + x(In x- In y 1) dy 0, v(1) -e M(x, v) = Each DE in Problems 15-22 is a Bernoulli equation. 32. Put the In Problems 15-20 solve the given differential equation by using an appropriate substitution. into the dy 15. x 16. -y= ey 33. (a) Det dx dr Pro (b) If th dy 17. dy 18 日
Transcribed Image Text:O Page view |A 1. (r- y) dr + x dy = 0 2. (r+ y) dx + x dy = 0 23. 3. x dx + (y- 2x) dy = 0 4. y dx = 2(x+ y) dy 5. (y + yx) dx- x dy = 0 25. 6. (y² + yx) dx + x dy = 0 dy 27. dx dr y + x In Prob dy 8. dx x+3y 3x + y 29. dr 9. -y dx + (x + Vxy) dy = 0 dy 30. 10. x dx = y + V - y, x>0 In Problems 11-14 solve the given initial-value problem. Discussi 31. Expla 11. ху- dy = y - x, y(1) = 2 dx neous the fo dx = xy, y(-1) = 1 dy 12. (x + 2y)- 13. (x+ ye) dx- xe dy 0. y(1) 0 You m 14. y dx + x(In x- In y 1) dy 0, v(1) -e M(x, v) = Each DE in Problems 15-22 is a Bernoulli equation. 32. Put the In Problems 15-20 solve the given differential equation by using an appropriate substitution. into the dy 15. x 16. -y= ey 33. (a) Det dx dr Pro (b) If th dy 17. dy 18 日
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