Give the parametric vector form of the general solution of the following system of equations:-2x3-4x5-4x6-1-5x2+4x5-3x68.-x4-6x5-6x61-5x2111/2+x6+x54+x24-841

Answered: Give the parametric vector form of the…

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

Give the parametric vector form of the general solution of the following system of equations:
-2x3
-4x5
-4x6
-1
-5x2
+4x5
-3x6
8.
-x4
-6x5
-6x6
1
-5x2
1
1
1/2
+x6
+x5
4
+x2
4
-8
4
1

Expert Solution

Step 1

$\{\begin{cases} x_{1} - 5 x_{2} - 2 x_{3} - 4 x_{5} - 4 x_{6} = - 1 \\ - x_{4} + 4 x_{5} - 3 x_{6} = 8 \\ x_{1} - 5 x_{2} - 6 x_{5} - 6 x_{5} = 1 \end{cases}$

We have to the parametric vector of the solution of the above given system of equation.

$\{\begin{cases} x_{1} - 5 x_{2} - 2 x_{3} - 4 x_{5} - 4 x_{6} = - 1 \\ - x_{4} + 4 x_{5} - 3 x_{6} = 8 \\ x_{1} - 5 x_{2} - 6 x_{5} - 6 x_{5} = 1 \end{cases}$

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