Find the general solution of the given the system dx1 = -6x1 + 5x2 dt dx2 — —5х1 + 4x2 dt

Q: x1 – 4x2 dt dx2 4.x1 – 7x2 dt

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Q: Solve the system d = dt with a1 (0) = 1 and æ2(0) = -1. %3D

A: The given system of differential equation: x1'x2'=   0-1-1   0 x1x2+t0  ;        x1(0)x2(0)=1-1

Q: Find the best approximation to a solution of the given system of equations. 2x + 3y + z = 21 , x + y…

A: 2x+3y+z=21---(1) x+y+z=7-------(2) -x+y-z=14-----(3) 2y+z=0--------(4)   Adding 2 and 3:…

Q: Transform the given system into a single equation of second-order x = 273.x1 – 272x2 x2 = 272x1 –…

A: Given: x'1=273x1-272x2  ⋯1x'2=272x1-272x2  ⋯2 From equation 1 x2=273x1-x'1272  ⋯3

Q: Find the general solution of the following system of equations. dx1 , dx2 2- dt +x1 + 5x2 = 4t dt…

A: Consider the provided question,

Q: dx 2. 2x + 2y dt dy = x + 3y dt

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Q: Use the substitution method to find all solutions of the system of equations.

A: Consider the given equations y=x2                                         ……(1)y=x+12…

Q: Find the general solution of the system with the following equations. dr dy = -I+ 3y dt -2x + 4y and…

A: Please see the explanation below

Q: Find the general solution of the system of equations {dxdt= −7x − 8y {dy/dt= 10x + 11y. Use…

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Q: Find the general solution of the given system: Dx + (D + 1)y = et x − (D − 1)y = e2t

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Q: What will be the first iteration approximate solutions 1, T2, T3 of the following system of linear…

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Q: Find the general solution of the given system: a) dy1 = y1 + 2y2 dt dy2 4у1 + Зу2 dt

A: The matrix equation is y1'y2'=1243y1y2. Obtain the eigenvalues: 1-λ243-λ=01-λ3-λ-8=0λ2-4λ-5=0λ=-1, 5…

Q: 2. Find the general solution of the system with the following equations. dz dy y + 2z, dr -2.x + 2z,…

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Q: Q1/ By using Gauss-Seidel method , find the solution of the system when the initial value is X) = 0,…

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Q: Q1/ By using Gauss-Seidel method, find the solution of the system when the initial value is X) = 0,…

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Q: Use back substitution to find the solution of the following system. (x+y-z= 1 z =1

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Q: Find the general solution of the given system. dx/dt=11x-y dy/dt=5x+7y

A: The given system in matrix form

Q: Find the general solution of the system -2 x(t) + dx(t) 4 dt -2 1 + 2t¬!

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Q: Solve the given system of linear equations by Cramer’s rule method. X-2y = 0 -x+y+z = 1 X+2y+3z = 0

A: The Cramer's Rule is used to find solutions to a system of linear equations.  Here the system of…

Q: Find the general solution of the system x'(t) = Ax(t) for A.  A = 2 -4 2 -2

A: Consider the given differential equation:

Q: dY 4 2 Y. dt 2 1

A: First, find the eigenvalue for the matrix , A=4221 as follows.…

Q: - Given the following system of equations, 1-find the value of z and x, dx 2- find (AT) + 5 (x²) 3-…

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Q: Transform the given system into a single equation of second-order x = 57x1 – 56x2 x2 = 56x1 – 56x2.…

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Q: Use the Gauss-Seidel method to obtain the solution of the system and calculate the %Errors of…

A: We will be using the Gauss-Seidel method to obtain the solution of the given system. We are given…

Q: Find the general solution of the given system. 1 0 X' = 2 2 -1 X %3D AUR 0 1

A: Given system is  X'=10022-1010X

Q: Solve the linear system . 3x + 2y = 1 x + 4y = 2 over Z5

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Q: Consider the system x +y - z = 4 x - 2y + 3z = -6 2x + 3y + z = 7 %3D Solve the system using…

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Q: Find the general solution of the following system of equations. 0. 2r - A. X= c B. X= c C. X = c D.…

A: Use the following formulae, to obtain the solution of the nonhomogeneous system X'=AX+gt. Let λ1 and…

Q: Find the general solution of the following system of equations. [-2 1] X+ 2r1 + X' = t> 0. 2 -1 A. X…

A: X'=-212-1 X+t-12t-1+4  t>0Let  A=-212-1  and  gt=1t2t+4 The characteristic  equation of A…

Q: 2x1 – 6x2 – x3 = -38 -3x1 – x2 + 7x3 = -34 -8x1 + x2 – 2x3 = -20

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Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 1. Use any direct method…

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Q: 4. Find the general solution of the given system: dx1 dt dx2 dt = = = 7x1 +4x2 -3x1-x2

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Q: Find the solution to the given system that satisfies the given initial condition. -2 - 1 x(t), x'(t)…

A: Hey, since there are multiple subpart posted, we will answer the first question. If you want any…

Q: Consider the following system of two nonlinear equations: y = -x +x+ 0.75 y+ 5xy = x² Employ initial…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: Find the general solution of the system dri(t) dt dr₂(t) dt 2x1 (t) + 2x2(t) + t ri(t) + 3x2(t)-2t.

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Q: Find the general solution of the given system. dx = 4x + 5y dt dy = 10x + 9y dt

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Q: Find the general solution of the system dx = -x + 2y + 3z dt dy y + 6z dt dz -2z dt II

A: to find the general solution of the key one system, we will first convert the system into matrix…

Q: Find the general solution of the system of equations {dxdt= −5x − 8y {dy/dt= 4x + 7y. Use your…

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Q: у" + Зу' + 2у %3D 0

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Q: Find the general solution of the given system. = 3x + 4y dy = 8x + 7y 11t (x(t), y(t)} = (C₁e¯¹ +…

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Q: 2x + 2y – z 2 x + 3z 24 Y + 4z 7. Solve the above system by Cramer's Rule.

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Q: Jx + 2y = 4 x + 2y = 5

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Q: Find the general solution of the given system. dx dt  =  7x + 5y   dy dt  =  −2x + 9y

A: The given differential equation can be written as: dxdt=7x+5y⇒D−7x−5y=0​…

Q: Transform the given system into a single equation of second-order a = 73x1 – 72x2 a2 = 72x1 – 72x2.…

A: The initial value of a function is the output value of the function when the input value is 0.

Q: 0 1 X'(t) = | 1 0 1 X(t). 1 1 0

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Q: Transform the given system into a single equation of second-order x = -8x1+ 5x2 x2 = -5x1 – 8x2.…

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Q: Find a general solution of the system?

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Q: Q1: Find the general solution of the given the system dx, = dt -6x, + 5x2 dx2 = -5x, + 4x2 dt

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Q: Use X = X + X, = eAtC + eAt e-As F(s) ds to find the general solution of the given system. d. X' = X…

A: We have to find general solution of given system.