34. y"- 2v' + y = 0, v(0) = 5. v'(0) = 10 %3D 35. y"+ 12y" + 36y' 0. y(0) = 0, y'(0) = 1. y"(0) = -7 %3D 36. y"+2y" - 5v- 6y= 0, v(0)= y'(0) = 0, y"(O = |

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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Question
29. y
19.
2u = 0
30.
de
4.3
HOMOGENEOUS LINEAR EQUA
31.
dr
4 - 5y = 0, y(1) = 0, y'(1) = 2
dr
45.
32. 4y"- 4y'- 3y = 0, y(0) = 1, y'(0) = 5
33. y" + y' + 2y = 0, y(0) = y'(0) = 0
34. y" – 2y' + v = 0, v(0) = 5. v (0) = 10
35. y"+ 12y" + 36y = 0, y(0) = 0, y'(0) = 1, y"(0) = -7
FIGU
36. y"+ 2y"- 5y-6y 0. y(0) = y'(0) = 0. y"(0) = I
In Problems 37-40 solve the given boundary-value problem.
46.
37. y- 10y + 25y 0. y(0) = 1, y(l) = 0
38. y+ 4y 0. y(0) – 0, v(z) = 0
39. y"+y 0, y'(0) = 0, y'
FIGUR
40. y-2y + 2y = 0. v(0) = 1, y(7) = 1
Transcribed Image Text:29. y 19. 2u = 0 30. de 4.3 HOMOGENEOUS LINEAR EQUA 31. dr 4 - 5y = 0, y(1) = 0, y'(1) = 2 dr 45. 32. 4y"- 4y'- 3y = 0, y(0) = 1, y'(0) = 5 33. y" + y' + 2y = 0, y(0) = y'(0) = 0 34. y" – 2y' + v = 0, v(0) = 5. v (0) = 10 35. y"+ 12y" + 36y = 0, y(0) = 0, y'(0) = 1, y"(0) = -7 FIGU 36. y"+ 2y"- 5y-6y 0. y(0) = y'(0) = 0. y"(0) = I In Problems 37-40 solve the given boundary-value problem. 46. 37. y- 10y + 25y 0. y(0) = 1, y(l) = 0 38. y+ 4y 0. y(0) – 0, v(z) = 0 39. y"+y 0, y'(0) = 0, y' FIGUR 40. y-2y + 2y = 0. v(0) = 1, y(7) = 1
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