Find the solution of the following Differential Equations 1) 4y+y=0, y(0)=2, y'(0) = 0. 2) y+y=0, y(0) = A, y'(0) = B. 3) "+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'-2k2y=0, y(0)=2, y'(0) = 2k. 7) y'+4y=0, y(0)=2.8 y+y-17sin(21) y(0)=-1. 9) y-y'-6y=0, y(0)=6. y'(0)=13. 10) y-y=0, 11) y"-4y+4y=0, y(0)=4, y'(0) = 0. y(0) = 2.1, y'(0)=3.9 12) y+2y+2y=0, y(0)=1, y'(0)=-3. 13) "+7y+12y=21e", y(0)=3.5, y'(0)=-10. 14) "+9y=10e", y(0)=0. y'(0) = 0. 15) y+3y+2.25y=91³ +64. y(0)=1, y'(0) = 31.5 16) "-6y+5y= 29 cos(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. 19) y-4y+5y=0, y(0)-1, y'(0) 2. 20) 9y-6y+y=0. y(0)=3, y'(0)=1. 21) -2y+10y=0, y(0)=3, y'(0)=3. 22) 4y-4y+37y=0, (0) 3. y(0) 1.5 23) 4y-8y+5y=0, (0)-0, y(0) 1. 24) y+y+1.25y=0, y(0) 1. y'(0) -0.5 25) y+y=2 cos(1). y(0) 2. y'(0) = 0. 26) -4y+3y=0, (0)-3, y'(0) = 7. 27) y+2y+y=e", y(0)-0. y'(0) = 0. 29) 28) y+2y-3y-10sinh(2), +25y=10(cos(51)-2sin(51)), (0) 0. y'(0)-4. y(0)-1. y'(0) = 2. 30) -- 3,(0)=1, (0) 0. 31) +y, 2 cos(1). y+y, -0, y₁(0)=0, (0)=1. 32) + 2sinh). +-d y(0)=y,(0) =1, (0) 0. x+3=20'+ 34) y y₁+3y2y=4y, -4e', y,(0) = 2, y(0)=3, y₂(0)=1, y,(0) = 2. 35) y+y, -5 cos(21). y+y-5cos(2), y(0)-(0)-1, y,(0)=-1, y(0)=1.
Find the solution of the following Differential Equations 1) 4y+y=0, y(0)=2, y'(0) = 0. 2) y+y=0, y(0) = A, y'(0) = B. 3) "+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'-2k2y=0, y(0)=2, y'(0) = 2k. 7) y'+4y=0, y(0)=2.8 y+y-17sin(21) y(0)=-1. 9) y-y'-6y=0, y(0)=6. y'(0)=13. 10) y-y=0, 11) y"-4y+4y=0, y(0)=4, y'(0) = 0. y(0) = 2.1, y'(0)=3.9 12) y+2y+2y=0, y(0)=1, y'(0)=-3. 13) "+7y+12y=21e", y(0)=3.5, y'(0)=-10. 14) "+9y=10e", y(0)=0. y'(0) = 0. 15) y+3y+2.25y=91³ +64. y(0)=1, y'(0) = 31.5 16) "-6y+5y= 29 cos(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. 19) y-4y+5y=0, y(0)-1, y'(0) 2. 20) 9y-6y+y=0. y(0)=3, y'(0)=1. 21) -2y+10y=0, y(0)=3, y'(0)=3. 22) 4y-4y+37y=0, (0) 3. y(0) 1.5 23) 4y-8y+5y=0, (0)-0, y(0) 1. 24) y+y+1.25y=0, y(0) 1. y'(0) -0.5 25) y+y=2 cos(1). y(0) 2. y'(0) = 0. 26) -4y+3y=0, (0)-3, y'(0) = 7. 27) y+2y+y=e", y(0)-0. y'(0) = 0. 29) 28) y+2y-3y-10sinh(2), +25y=10(cos(51)-2sin(51)), (0) 0. y'(0)-4. y(0)-1. y'(0) = 2. 30) -- 3,(0)=1, (0) 0. 31) +y, 2 cos(1). y+y, -0, y₁(0)=0, (0)=1. 32) + 2sinh). +-d y(0)=y,(0) =1, (0) 0. x+3=20'+ 34) y y₁+3y2y=4y, -4e', y,(0) = 2, y(0)=3, y₂(0)=1, y,(0) = 2. 35) y+y, -5 cos(21). y+y-5cos(2), y(0)-(0)-1, y,(0)=-1, y(0)=1.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Find the solution of the following Differential Equations
1) 4y+y=0,
y(0)=2,
y'(0) = 0.
2) y+y=0,
y(0) = A,
y'(0) = B.
3) "+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'-2k2y=0,
y(0)=2,
y'(0) = 2k.
7) y'+4y=0,
y(0)=2.8
y+y-17sin(21)
y(0)=-1.
9) y-y'-6y=0,
y(0)=6.
y'(0)=13.
10) y-y=0,
11) y"-4y+4y=0,
y(0)=4,
y'(0) = 0.
y(0) = 2.1,
y'(0)=3.9
12) y+2y+2y=0,
y(0)=1,
y'(0)=-3.
13)
"+7y+12y=21e",
y(0)=3.5,
y'(0)=-10.
14) "+9y=10e",
y(0)=0.
y'(0) = 0.
15) y+3y+2.25y=91³ +64.
y(0)=1,
y'(0) = 31.5
16) "-6y+5y= 29 cos(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.
19) y-4y+5y=0,
y(0)-1,
y'(0) 2.
20) 9y-6y+y=0.
y(0)=3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
(0) 3.
y(0) 1.5
23) 4y-8y+5y=0,
(0)-0,
y(0) 1.
24) y+y+1.25y=0,
y(0) 1.
y'(0) -0.5
25) y+y=2 cos(1).
y(0) 2.
y'(0) = 0.
26) -4y+3y=0,
(0)-3,
y'(0) = 7.
27) y+2y+y=e",
y(0)-0.
y'(0) = 0.
29)
28) y+2y-3y-10sinh(2),
+25y=10(cos(51)-2sin(51)),
(0) 0.
y'(0)-4.
y(0)-1.
y'(0) = 2.
30)
--
3,(0)=1,
(0) 0.
31) +y, 2 cos(1). y+y, -0,
y₁(0)=0,
(0)=1.
32) + 2sinh). +-d
y(0)=y,(0) =1,
(0) 0.
x+3=20'+
34) y y₁+3y2y=4y, -4e', y,(0) = 2, y(0)=3, y₂(0)=1, y,(0) = 2.
35) y+y, -5 cos(21). y+y-5cos(2), y(0)-(0)-1, y,(0)=-1,
y(0)=1.
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