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3. x' : = Find the general solution of the system of equations. 14 -40 -5 8 -25 -4 -19 52 6 X

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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Question

Use a calculator for:

- Finding eigenvalues and eigenvectors.

- Matrix multiplication still required to show how you find generalized

- Matrix inversion

- Row reduction

- Integration

3.
x'
=
Find the general solution of the system of equations.
14
-40
-5
8 -19
52
6
-25
-4

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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Step 1 characteristics equation to find eigen values.

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Step 2 Required eigen values

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Step 3 Eigen vector for eigen value -1.

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Step 4 Eigen vector for eigen value -2-3i.

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Step 5 Eigen vector for eigen value -2+3i.

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Step 6 Required general solution of given system

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