Determine whether the following systems of differential equations are de- generate. In the degenerate case, decide whether the system has no solution or infinitely many. Find the general form of the solutions if they exists by solving y(t) in terms of æ(t) where r(t) is any arbitrary function of t. (a) 2# – i + j – 2ý = e 2i – r + ý – 2y = 2e. (b) (D +1)[z] + D[v] = t (D² + D)[x] + D*[y] = 1.
Determine whether the following systems of differential equations are de- generate. In the degenerate case, decide whether the system has no solution or infinitely many. Find the general form of the solutions if they exists by solving y(t) in terms of æ(t) where r(t) is any arbitrary function of t. (a) 2# – i + j – 2ý = e 2i – r + ý – 2y = 2e. (b) (D +1)[z] + D[v] = t (D² + D)[x] + D*[y] = 1.
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
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This is an ordinary differential equation question. Please answer both a and b
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Determine whether the following systems of differential equations are de-
generate. In the degenerate case, decide whether the system has no solution
or infinitely many. Find the general form of the solutions if they exists by
solving y(t) in terms of æ(t) where r(t) is any arbitrary function of t.
(a)
2ä – i + ÿ – 2ý = e'
2å – x + ỷ – 2y = 2e".
(b)
(D+1)[x] + D[y] = t
(D² + D)[x] + D²[y] = 1.
all
06:42 AM
2022-03-24
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E E1 E 2 I 90% e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94ea00a2-f5ad-495c-94c7-735caa6aac17%2Fa49c06d3-15eb-41c9-8606-67a7cb13e652%2Fnu8eif4_processed.png&w=3840&q=75)
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A A
Aa
Aal
AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL
E Copy
Сopy
a Replace
B I U -
abe x, x A
ab
A
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Heading 2
Title
Subtitle
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-
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• 2:1: 1:
| 3:1' 4: ·5.1 6.1:7 l:8: 1'9 ' 10: 1 '11: 1'12 :L·13:1' 14:' 15. LA:L 17:L · 18.
Determine whether the following systems of differential equations are de-
generate. In the degenerate case, decide whether the system has no solution
or infinitely many. Find the general form of the solutions if they exists by
solving y(t) in terms of æ(t) where r(t) is any arbitrary function of t.
(a)
2ä – i + ÿ – 2ý = e'
2å – x + ỷ – 2y = 2e".
(b)
(D+1)[x] + D[y] = t
(D² + D)[x] + D²[y] = 1.
all
06:42 AM
2022-03-24
Page: 1 of 1
Words: 0
E E1 E 2 I 90% e
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