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2 -1 Consider the nonhomgeneous system y' = A(t) y+ g(t), where A(t) =| tet g(t) =| a. Find the fundamental matrix of y'= A(t) y . b. Find the solution ø of the nonhomogeneous system for which ø(0)=|, %3!

2 -1 Consider the nonhomgeneous system y' = A(t) y+ g(t), where A(t) =| tet g(t) =| a. Find the fundamental matrix of y'= A(t) y . b. Find the solution ø of the nonhomogeneous system for which ø(0)=|, %3!

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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PROBLEM #2 2 -1 Consider the nonhomgeneous system y' = A(t) y+ g(t), where A(t) =| g(t) = a. Find the fundamental matrix of y' = A(t) y. b. Find the solution of the nonhomogeneous system for which ø(0)=| `,| %3D
Transcribed Image Text:PROBLEM #2 2 -1 Consider the nonhomgeneous system y' = A(t) y+ g(t), where A(t) =| g(t) = a. Find the fundamental matrix of y' = A(t) y. b. Find the solution of the nonhomogeneous system for which ø(0)=| `,| %3D
y= A (4) y + g(4) A lt) %3D t Ginen the fundamental matrix at Find 0: 00 =| p(4) = n + A-s)A grods ds (2t 1 t t 2t 1 $14)=/+4) 2t +4/ 2t 1- -4t It at +4 %3D d (4) = 4
Transcribed Image Text:y= A (4) y + g(4) A lt) %3D t Ginen the fundamental matrix at Find 0: 00 =| p(4) = n + A-s)A grods ds (2t 1 t t 2t 1 $14)=/+4) 2t +4/ 2t 1- -4t It at +4 %3D d (4) = 4
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