Below are a list of equilibrium points for a system whose Jacobian matrix is given by (70 – 14N1 – 5N2) -N1 21 105 -N2 -(36 – 3N1 – 8N2) 84 Select all of them that are stable. 100 42 (10,0) (0,9) (0,0) 13 '13

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A: So other Eigen value is 0

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A: In this question, we use the property of solution of the system of differential equation.

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: We have to solve the given problem by variation of parameter.

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

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Q: Recall from (14) in Section 8.3 that X = D(t)O¯(t,)x, + D(t) o-(s)F(s) ds solves the initial value…

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Q: Below are a list of equilibrium points for a system whose Jacobian matrix is given by (21-28x– 15y)…

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A: Introduction: A set of linear equations is connected to a vector called the eigenvector. Latent,…

Q: find A-1 using Gaussian elimination and check the resul 3 -2 [1 1) A = |1 2 4. 27 1 1 Ans: A-1 = -2…

A: Explanation of the answer is as follows

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Q: 4) Find the general solution of the following nonhomogeneous system: y' = [²¹] + [²], ÿ(0) = [-] e2t…

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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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