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lectrical & Electronic Engineering Department Dr. Atheer Alaa Sabri Exercises Find the solution of the following Differential Equations I) 4y"+z'y = 0. 2) y"+oy = 0, y(0) = 2, y'(0) = 0. y(0) = A, y'(0) = B. 3) y"+2y'-8y=0, y(0) =1, y'(0) = 8. 4) y"-2y-3y= 0, y(0) = 1, y'(0) = 7. 5) y-ky' 0, y(0) = 2, y'(0) = k. 6) y"+ky' - 2k°y=0, y'(0) = 2k. y(0) = 2, 7) y'+4y = 0, y(0) = 2.8 8) y'+y=17 sin(21), y(0) =-1. 9) y"-y-6y = 0, y(0) = 6, y'(0) = 13. 10) y"-y=0, y(0) = 4, y'(0) = 0. 11) y-4y'+4y =0, y(0) = 2.1, y'(0) = 3.9 12) y"+2y' +2y = 0, 13) y"+7y' +12y = 21e*, 14) y+9y 10e. y(0) = 1, y'(0) = -3. y(0) = 3.5, y'(0) = -10. y(0) = 0, y'(0) = 0. 15) y"+3y'+2.25y =9r° +64, y(0) =1, y'(0) = 31.5 16) y-6y'+5y= 29cos(21). y(0) = 3.2, y'(0) = 6.2 17) y+2y' +2y = 0. y(0) = 0, y'(0) = 1. 18) y"+2y'+17y=0, y(0) = 0, y'(0) = 12. 151 Mathematics Second Year Flaatriog notwomie F.

lectrical & Electronic Engineering Department Dr. Atheer Alaa Sabri Exercises Find the solution of the following Differential Equations I) 4y"+z'y = 0. 2) y"+oy = 0, y(0) = 2, y'(0) = 0. y(0) = A, y'(0) = B. 3) y"+2y'-8y=0, y(0) =1, y'(0) = 8. 4) y"-2y-3y= 0, y(0) = 1, y'(0) = 7. 5) y-ky' 0, y(0) = 2, y'(0) = k. 6) y"+ky' - 2k°y=0, y'(0) = 2k. y(0) = 2, 7) y'+4y = 0, y(0) = 2.8 8) y'+y=17 sin(21), y(0) =-1. 9) y"-y-6y = 0, y(0) = 6, y'(0) = 13. 10) y"-y=0, y(0) = 4, y'(0) = 0. 11) y-4y'+4y =0, y(0) = 2.1, y'(0) = 3.9 12) y"+2y' +2y = 0, 13) y"+7y' +12y = 21e*, 14) y+9y 10e. y(0) = 1, y'(0) = -3. y(0) = 3.5, y'(0) = -10. y(0) = 0, y'(0) = 0. 15) y"+3y'+2.25y =9r° +64, y(0) =1, y'(0) = 31.5 16) y-6y'+5y= 29cos(21). y(0) = 3.2, y'(0) = 6.2 17) y+2y' +2y = 0. y(0) = 0, y'(0) = 1. 18) y"+2y'+17y=0, y(0) = 0, y'(0) = 12. 151 Mathematics Second Year Flaatriog notwomie F.

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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Electrical & Electronic Engineering Departmeni Dr. Atheer Alaa Sabri Exercises Find the solution of the following Differential Equations 1) 4y"+ 7'y = 0. y(0) = 2, y'(0) = 0. 2) y"+o?y = 0, y(0) = A, У (0) - В. 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8. 4) y"-2y'-3y= 0, 5) y"-ky' = 0, 6) y"+ky' - 2k'y =0, 7) y'+4y = 0, y(0) = 1, y'(0) = 7. y(0) = 2, y'(0) = k. y(0) = 2, y'(0) = 2k y(0) = 2.8 8) y'+y =17 sin(2r), y(0) = -1. 9) y"-y'-6y 0. y(0) = 6, y'(0) = 13. 10) y" -y=0, y(0) = 4, y'(0) = 0. 11) y"-4y'+4y= 0, 12) y"+2y'+2y= 0, y(0) = 2.1, y'(0) = 3.9 y(0) = 1, y'(0) = -3. 13) y"+7y'+12y = 21e", y(0) = 3.5, y'(0) = -10 y'(0) = 0. 14) y"+9y =10e", 15) y"+3y'+2.25 y = 9t +64, 16) y"-6y'+5y = 29 cos(2r). y(0) = 0, y(0) = 1, y'(0) = 31.5 y(0) = 3.2, y'(0) = 6.2 17) y"+2y'+ 2y = 0. y(0) = 0, y'(0) = 1. 18) y"+2y'+17y=0, y(0) = 0, y'(0) = 12. 151 Mathematics Second Year Electrical & Electronic Engineering Department Dr. Atheer Alaa Sabri 19) y"- 4y'+5y =0, 20) 9y" - 6y'+y= 0, y(0) = 1. y'(0) = 2. y(0) = 3, y'(0) = 1. 21) y" - 2y' +10y = 0, y(0) = 3, y'(0) = 3. 22) 4y" - 4y'+37y = 0, y(0) = 3, y'(0) = 1.5 23) 4y" -8y' +5y = 0, y(0) = 0, y'(0) = 1. 24) y"+y' +1.25y =0, 25) y"+y = 2 cos(t), y(0) = 1, y'(0) = -0.5 y(0) = 2. y'(0) = 0. 26) y" - 4y' +3y= 0, y(0) = 3. y'(0) = 7. 27) y"+2y' + y= e, 28) y"+2y'-3y 10 sinh(2t). 29) y"+25y = 10(cos(5t)- 2 sin(5t). 30) y =-Y2. y = y. 31) y+y, = 2 cos(t), y, + y, = 0. y(0) = 0, y'(0) = 0. y(0) = 0. y'(0) = 4. y(0) = 1, y'(0) = 2. y:(0) = 0. y:(0) = 1. y (0) = 1. y. (0) = 0. 32) y+y, =2sinht), y,+y, d. y,(0) = y,(0) = 1, y, (0) = 0. +y, =2e +e' 33) -2y +y, +y, = 0, y +y, = 41 + 2, y, (0) = y, (0) = y,(0) = 0 y +y, =r +2 34) y= y, +3y,, y = 4y, - 4e', y, (0) = 2,y(0) = 3, y, (0) = 1, y: (0) = 2. 35) y+y, =-5cos(2r), y +y = 5 cos(21), y(0) = y{(0) =1, y,(0) =-1, y:(0) = 1.
Transcribed Image Text:Electrical & Electronic Engineering Departmeni Dr. Atheer Alaa Sabri Exercises Find the solution of the following Differential Equations 1) 4y"+ 7'y = 0. y(0) = 2, y'(0) = 0. 2) y"+o?y = 0, y(0) = A, У (0) - В. 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8. 4) y"-2y'-3y= 0, 5) y"-ky' = 0, 6) y"+ky' - 2k'y =0, 7) y'+4y = 0, y(0) = 1, y'(0) = 7. y(0) = 2, y'(0) = k. y(0) = 2, y'(0) = 2k y(0) = 2.8 8) y'+y =17 sin(2r), y(0) = -1. 9) y"-y'-6y 0. y(0) = 6, y'(0) = 13. 10) y" -y=0, y(0) = 4, y'(0) = 0. 11) y"-4y'+4y= 0, 12) y"+2y'+2y= 0, y(0) = 2.1, y'(0) = 3.9 y(0) = 1, y'(0) = -3. 13) y"+7y'+12y = 21e", y(0) = 3.5, y'(0) = -10 y'(0) = 0. 14) y"+9y =10e", 15) y"+3y'+2.25 y = 9t +64, 16) y"-6y'+5y = 29 cos(2r). y(0) = 0, y(0) = 1, y'(0) = 31.5 y(0) = 3.2, y'(0) = 6.2 17) y"+2y'+ 2y = 0. y(0) = 0, y'(0) = 1. 18) y"+2y'+17y=0, y(0) = 0, y'(0) = 12. 151 Mathematics Second Year Electrical & Electronic Engineering Department Dr. Atheer Alaa Sabri 19) y"- 4y'+5y =0, 20) 9y" - 6y'+y= 0, y(0) = 1. y'(0) = 2. y(0) = 3, y'(0) = 1. 21) y" - 2y' +10y = 0, y(0) = 3, y'(0) = 3. 22) 4y" - 4y'+37y = 0, y(0) = 3, y'(0) = 1.5 23) 4y" -8y' +5y = 0, y(0) = 0, y'(0) = 1. 24) y"+y' +1.25y =0, 25) y"+y = 2 cos(t), y(0) = 1, y'(0) = -0.5 y(0) = 2. y'(0) = 0. 26) y" - 4y' +3y= 0, y(0) = 3. y'(0) = 7. 27) y"+2y' + y= e, 28) y"+2y'-3y 10 sinh(2t). 29) y"+25y = 10(cos(5t)- 2 sin(5t). 30) y =-Y2. y = y. 31) y+y, = 2 cos(t), y, + y, = 0. y(0) = 0, y'(0) = 0. y(0) = 0. y'(0) = 4. y(0) = 1, y'(0) = 2. y:(0) = 0. y:(0) = 1. y (0) = 1. y. (0) = 0. 32) y+y, =2sinht), y,+y, d. y,(0) = y,(0) = 1, y, (0) = 0. +y, =2e +e' 33) -2y +y, +y, = 0, y +y, = 41 + 2, y, (0) = y, (0) = y,(0) = 0 y +y, =r +2 34) y= y, +3y,, y = 4y, - 4e', y, (0) = 2,y(0) = 3, y, (0) = 1, y: (0) = 2. 35) y+y, =-5cos(2r), y +y = 5 cos(21), y(0) = y{(0) =1, y,(0) =-1, y:(0) = 1.
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