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
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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