b. Use the method of VARIATION OF PARAMETERS to find the general solution of the following system of DEs: x = - 03 4 1 ) x + ( ₁ ) 2 e²t (1), and λ=1 with corresponding eigenvector (³) (0.2) The eigenvalues of the coefficient matrix are A = 3 with correspond- ing eigenvector

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Chapter2: Second-order Linear Odes
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Q2 b. Please help me out with this question, please step by step Differential Equations
b. Use the method of VARIATION OF PARAMETERS to find
the general solution of the following system of DEs:
03
* = (-; ³) x + ( 1 ) -².
X
e²t
(0.2)
The eigenvalues of the coefficient matrix are À = 3 with correspond-
ing eigenvector
and X = 1 with corresponding eigenvector
(³).
Transcribed Image Text:b. Use the method of VARIATION OF PARAMETERS to find the general solution of the following system of DEs: 03 * = (-; ³) x + ( 1 ) -². X e²t (0.2) The eigenvalues of the coefficient matrix are À = 3 with correspond- ing eigenvector and X = 1 with corresponding eigenvector (³).
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