dy = x – 2y dt Зх + 6у and %3D dt dY (i) Write this system in the form dt AY where A is a 2 x 2 matrix (ii) Find the general solution Y(t) (iii) Determine if the origin is a sink, source, or saddle

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A: We have to solve the given problem.

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A: Solve the given problem.

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A: We need to transform the given equation into a system of first order equations.

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A: Consider the provided question.

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

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A: Part i) Given the SLE is:

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A: Solution:

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A: i just substituted the given variable in a proper way in given second order system

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A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

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A: Consider the given system of equations.

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A: Since you posted multiple questions, we will solve first question for you.

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A: Let x1 and x2 be the number of pounds of salt in A and B respectively,The amount of salt depends on…

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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.

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