Solve for the parameter variation method O 2 X'=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Apply the variation of parameters method to solve the system

Solve for the parameter variation method
O 2
3.
X'=
Transcribed Image Text:Solve for the parameter variation method O 2 3. X'=
Expert Solution
Step 1

To solve the following problem by two step 

(1) we fine the C.F.  of the given function

X' = AX where A is 2*2 matrix

So we find the eigen value and eigen vactor corosponding to eigen valve

Then Xc = C1[eigen vactor of a] eat + C2[eigen vactor of ] ebt

Where a and b are the eigen value of matrix A and C1 and C2 are the constant

(2) we find the particular solution by using the formula 

Advanced Math homework question answer, step 1, image 1

Then the complete solution

X = Xc + Xp

 

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