Suppose that the differential equation x' = Ax is such that A is a 2 x 2 matrix with eigenvalues A1 = 5 and X2 = 3 and corresponding eigenvectors vị = and v2 = Plot the phase portrait. Include in your plot the trajectories of the associated fundamental solutions. Label trajectories and indicate the direction that the points move along the trajectory as t → ∞. Then highlight the trajectory of this system that passes through the point (2,0) indicating the behavior of this trajectory as t → ∞

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Q: Suppose that the differential equation x' = Ax is such that A is a 2 × 2 matrix with eigenvalues A1…

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Q: Suppose that the differential equation x' = Ax is such that A is a 2 × 2 matrix with eigenvalues A1…

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Q: Example 1. Prove that the homogeneous integral equation o(x) =À (3x - 2) to(t) dt %3D has no…

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Q: What is the eigenvalue for the eigenfunction e^4ix of the operator ((d^2)/(dx^2))+(d/dx)−4i?

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Q: 7. Show that the integral equation R has no eigenvalues. g(x) = a √ (sin x sin 2t) g(t) dt

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Q: Example 7. Show that the integral equation g(x) = 1 (sin x sin 2t) g(t) dt has no eigenvalues.

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