The system dN1 2 N1+2N2 dt dN2 3 N2 3N1 + N2 %3D 1- dt 4 7 14 5' 5 has the equilibrium points (0,0), (0,7), (7,0) and Which of them are stable? o (0,7) - (0,0) - ( - (7,0) 7 14 5' 5

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A: A matrix is said to be diagonalizable if   Algebraic multiplicity of eigen values = geometric…

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Q: critical

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A: PART A For a system of equations : dx1dt=x1+2x2+3x3-6dx2dt=2x1-3x2+2x3-14dx3dt=3x1+x2-x3+2 For the…

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A: Solution :-

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A: We can solve this using given information

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A: Consider the given information:

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A: Consider the provided question.

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A: We plug the given values in the given formula.

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A: Given: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg

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A: Here we will find out linearized model for the given system.

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A: Consider the given system.

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Q: I am not sure if it's Two critical points or three

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Q: Consider the following nonhomogeneous linear system: xi = 2x1 – x2 +t² X2 + x2 = 3x1 – 2x2 + t - 5.…

A: Here is the solution of the given system of Linear differential equation.

Q: 6. Find the general solution of the following system of first-order equations: = x + 3y,| = 3x + y.…

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Q: - Ay A 3 1 -2 221 a-) Find a generol solution of the system ? 6-) Find a porticular solution of the…

A: Consider the given system of equation.

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Q: 5. Consider the nonlinear system. Sx = -2y + xy = x + 4xy (a) Find all the equilibrium points of the…

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A: Explanation of the solution is given below....

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A: Given Data: The Equilibrium points(0,0),(0,N),(N/2,N/2)  and Jacobian  J(x,y)= -2x+yx-y-x+N-2y

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A: We have given a Jacobian matrix ,  J = 1-331 We will find Eigen value for this matrix ,  For that ,…

Q: a) Show that the nonlinear dynamical system i = 2y – x² + 1, ý = 1 – x² – y? has two equilibrium…

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Q: 4 2 -1 2 6 -3 -8 -9 I3 14 a. Find the solution to this system using LU decomposition.

A: To Determine :-  The solution to this system using LU decomposition.

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A: This is nonlinear autonomous systems of differential equations.

Q: Consider a seesaw with two children of masses ml and m2 on either side. Suppose that the position of…

A: