ORDINARY DIFFERENTIAL EQUATION PLEASE HELP ME WITH THE QUESTION BELOW: and matrix are respectively defined as the norms of a vector X-21, 22,...,n A- [ay] and ||A|- ||X||- Alternatively we can define ||X||- and ||A||- lal. i-0 The latter definition means that the norm of a matrix A is defined as the maximum of the sums obtained by addition of the absolute values of the entries in each column of A. Now consider the system max lal. max j1,2,n -ta+21xg+t ₂-(sin t) +2₂+2x3 + e² -2(cost)2₁ +2(sint)r₂+2²³ +²² Assume there exist solutions X and Y on the interval (1,4) with X(2)-(3,1.9, 47 and Y(2)-[3.2, 2.1, 3.9. Use alternative definitions given above and Gronwall's inequality to estimate the error X(t)-Y(t) for 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Calibri (Body) 11
T
BIU
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T
Α Α΄
I U abe X₂ X³
abe X, X² A
T
Font
Mailings
Aa
ab
Aal
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B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbcc AaBI AaBb CcL
1 Normal 1 No Spaci... Heading 1
Heading 2
Styles
··2·1·1·1··1·1·1·2·1·3·1·4·1·5 · 1 · 6 · 1 · 7 · 1 ·8·1·9·1·10·|·11·|··12·|··13·1·14°|•15+1 ·\\ · 1 ··17· |··18+|
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and matrix
D
ORDINARY DIFFERENTIAL EQUATION
PLEASE HELP ME WITH THE QUESTION BELOW:
are respectively defined as
G
the norms of a vector
X = [T1, T2,..., In]
A = [aij]
||X|and ||A||-
i=1
Alternatively we can define
13
||X||-|T₁|and || A||
i=0
max
j=1,2,n.
11
i=1
₁tr₁+2tr2₂+t
1
₂ = (sint)x₁ + x₂ + 2x3 + e²
laisl.
max Eagl
j=1,2,...,n
i=1
The latter definition means that the norm of a matrix A is defined as the
maximum of the sums obtained by addition of the absolute values of the
entries in each column of A.
Now consider the system
1
*3 = 2(cost)x₁+2 (sint)r₂+³+et.
Assume there exist solutions X and Y on the interval (1,4) with
X (2) [3, 1.9, 4] and Y(2) [3.2, 2.1, 3.9¹.
Title
Use alternative definitions given above and Gronwall's inequality to estimate
the error
||X(t)-Y(t) for 1<t<4.
Subtitle
Find
АА
Час Replace
Change
Styles Select
Editing
G
■ ¥良 酒 ≡ 80%
@?
M
E
V
+
Transcribed Image Text:| ◄ [ d W 49:22 15 X +0 12:19 PM 2022-08-07 W File Paste · ¹ · 18·|·17· |· 16° |·15·|·14·1·13·|·12···11·1·10·1·9·1·8·1·7·1·6·1·5·1·4·1·3·1·2·1·1·... Home Insert Page Layout Cut Copy Format Painter Clipboard Page: 1 of 1 Words: 10 Calibri (Body) 11 T BIU References T Α Α΄ I U abe X₂ X³ abe X, X² A T Font Mailings Aa ab Aal Document1 - Microsoft Word (Product Activation Failed) View M Review B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbcc AaBI AaBb CcL 1 Normal 1 No Spaci... Heading 1 Heading 2 Styles ··2·1·1·1··1·1·1·2·1·3·1·4·1·5 · 1 · 6 · 1 · 7 · 1 ·8·1·9·1·10·|·11·|··12·|··13·1·14°|•15+1 ·\\ · 1 ··17· |··18+| Paragraph and matrix D ORDINARY DIFFERENTIAL EQUATION PLEASE HELP ME WITH THE QUESTION BELOW: are respectively defined as G the norms of a vector X = [T1, T2,..., In] A = [aij] ||X|and ||A||- i=1 Alternatively we can define 13 ||X||-|T₁|and || A|| i=0 max j=1,2,n. 11 i=1 ₁tr₁+2tr2₂+t 1 ₂ = (sint)x₁ + x₂ + 2x3 + e² laisl. max Eagl j=1,2,...,n i=1 The latter definition means that the norm of a matrix A is defined as the maximum of the sums obtained by addition of the absolute values of the entries in each column of A. Now consider the system 1 *3 = 2(cost)x₁+2 (sint)r₂+³+et. Assume there exist solutions X and Y on the interval (1,4) with X (2) [3, 1.9, 4] and Y(2) [3.2, 2.1, 3.9¹. Title Use alternative definitions given above and Gronwall's inequality to estimate the error ||X(t)-Y(t) for 1<t<4. Subtitle Find АА Час Replace Change Styles Select Editing G ■ ¥良 酒 ≡ 80% @? M E V +
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