5) Given the following homogeneous system of first-order differential linear equations. dx dt =-6x+ Gx+2y dy= = = 3x + y Dr X²=> [si] X a) Find the 2 eigenvalues .62 31 b) Find the 2 corresponding eigenvectors c) Find the 2 special vector Solutions d) show that the 2 special Vector solutions are linearly independent e) Write out the general solution System f) Find a specific solution of the System for X (0) = 100)] = [ Lycos]= of the

Q: answers should be separated by comma and in general solution form

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