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
Problem 1RQ
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Apply the variation of parameters method to solve the system
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
Then the complete solution
X = Xc + Xp
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