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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I need answer within 20 minutes please please with my best wishes
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5acdc66a-41ac-466c-8095-d48d2a20e304%2Fa523f4df-8850-459a-b10d-dfc6b6ae1473%2Fip4r7rh_processed.jpeg&w=3840&q=75)
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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