Consider the linear system æ' = Ax, where A is a real 2 x 2 matrix with constant entries and repeated eigenvalues. Use the following information to determine A: The phase plane solution trajectories have horizontal tangents on the 5x1 and vertical tangents on the line x1 = 0. line x2 Also, A has a nonzero repeated eigenvalue and a21 = 6. 6. A = 6. 56

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Q: Exercise 3.9.4: Find a particular solution to x' = x + 2y + 2t, y' = 3x + 2y- 4, a) using…

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Q: Find a 2 x 2 matrix A for which E4 = span {[3]}, where Ex denotes the eigenspace associated with the…

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Q: 6. Determine whether the following systems are asymptotically stable by solving the Lyapunov…

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Q: Consider the following coefficient matrix, which contains a parameter . * - (; )- 3 x' = 9 -5…

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A: Given a matrix, x'=9454α94x To determine the eigen values, consider 94-λ54α94-λ=94-λ2-54α

Q: Consider the linear system æ' = Ax, where A is a real 2 x 2 matrix with constant entries and…

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Q: determine the general solution to the linear system x′= Ax for the given matrix A.

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Q: If A is an nxn matrix, then the eigenvalues can be determined by

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Q: determine the general solution to the linear system x′= Ax for the given matrix A.

A: Given: A matrix, A=2-43-9-3-9443.

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