[i 0 0Suppose A = 0 19 7 -30 and b(t) = 0 , then find the solutions of the given system of| sin tXP= AX and (ii)XPequations (i)AX +b(t).dt%3Ddt

Answered: [i 0 0 Suppose A = 0 1 9 7 -3 0 and…

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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[i 0 0
Suppose A = 0 1
9 7 -3
0 and b(t) = 0 , then find the solutions of the given system of
| sin t
XP
= AX and (ii)
XP
equations (i)
AX +b(t).
dt
%3D
dt

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Step 1

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(a) (i)

Step 2

Now, find the Eigen vectors of the corresponding Eigen values,

Step 3

Now, let x₂ = 0,

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