By using back-substitution to solve the systems – y = -1, 2y + z = 2, 2x – y – 3z = 3;

Q: امتحان التقي يم الأول ل لمرحلة الثالثه ۲۰۲۰-۲۰۲۱ Q1- reduce the equation to system of first I.V.B…

A: Use rules of differential equation

Q: Solve the system, or show that it has no solution. If the system has infinitely many solutions,…

A: 34x+12y=5                   1-14x-32y=1                2 Multiply both side by 3 in…

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: Is there a value of r so that x = 1, y = 2, z = r is a solution to the following linear system? If…

A: Given  The system of equation is  2x + 3y − z = 11x − y + 2z = −74x + y − 2z = 12.

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

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Q: Solve the system equations 5x+2y+z=12 , x+4y+2z=15,x+2y+5z=20 using gauss Seidel method

A: Rewrite the system in matrix form and solve it by gaussian eleminating-…

Q: Solve the system equations 28x-4y-z=32 , x+3y+10z=24 , 2x+17y+4z=35 using Jacobi's method

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Q: Find the solution for the system that satisfies the conditions at t = 0. Y1 + 5y2, y'2 = -5y1 + y'ı…

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Q: -3 y{(x)+4y,(x)– y, (x)+ 2y,(x) + 6x – 3–4sin(x) = 0 2y{(x)– 3 y,(x)– y2(x)– 4x+2+3 sin(x) = 0

A: First, determine the normal form of the system of equations and then deduce the homogenous form from…

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

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Q: Find C and D so that the solution set to the system is {(4, 1)}. Cx + 5y = 13 -2x + Dy = –5

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Q: x + 2y + 3z = 0 ay +z = ay + bz = 4 For which value(s) of a and b will the system have a unique…

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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: Solve the system equations 10x+y+z=12 , x+10y+z=D12, x+y+10z%312 using Jacobi's method

A: Given : 10x+y+z=12x+10y+z=12x+y+10z=12

Q: Given the system of nonlinear DEs a' = -2x – 3y + xe" and y'= 3x - y +2- 2e": (a) Linearise the…

A: Given nonlinear system of differential equations is dxdt=-2x-3y+xeydydt=3x-y+2-2ey Let P1x, y=xey…

Q: For which values of k, the linear homogeneous equation system (2k – 1)x +3y – 6z = 5x + ky + 4z = 0…

A: We have to use Cramer's Rule here.

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

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Q: Solve the system ax - by + 2cz = -4, ax + 3by - cz = 1 and 2ax + by + 3cz = 2 for (x, y, z) in terms…

A: Step 1 Solve by simultaneous equation method ax-by+2cz=-4  ----(1) ax+3by-cz=1  ----(2) 2ax-by+2cz=2…

Q: 1) Show that x = 10, y = 4, z = 7 is a solution to the system below without solving the system…

A: The given system,x+2y+z=254x-y-5z=1-2x-y+8z=32x=10, y=4, z=7

Q: b) Consider the following system of linear equation: y+rz = s x-2y+z=5 x+ y+z =1 What is the value…

A: Given system is y+rz=sx-2y+z=5x+y+z=1 Matrix form is 01r1-21111xyz=s51 which is in form of  AX=b

Q: Solve the systems of linear equations over the indicated Zp 3x + 2y = 1 over Z7  x + 4y = 1

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Q: Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan…

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Q: Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan…

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Q: dY 4 2 Y. dt 2 1

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

Q: Solve the systems of linear equations over the indicated Zp. 3x + 2y = 1 over Z7 x + 4y = 1

A: To solve the system of linear equation over the indicated Z p . 3x + 2y = 1 ..... (1)  x + 4y = 1…

Q: Consider the following system of linear equations. 5x + 2y + 3z = 7 2x + y + z = 4 7x + 3y+ 4z = n…

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Q: Solve the given system of equations by either Gaussian elimination or Gauss-Jordan e parameter t.) x…

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Q: By using back-substitution to solve the systems x – y = -1, 2y + z = 2, 2x – y – 3z = 3;

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Q: Apply gauss jordon method to solve the system of equation 3x + 8y +29z = 71 83x + 11y - 4z = 95,…

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Q: Consider the system x + 2y – 3z = 4 %3D 3x – y + 5z = 2 | 4x + y + (a² – 14)z = a + 2 where a is an…

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Q: 1- reduce the equation to system of first I.V.B yo-4" + 4y° = 0, g(1) = -1, '(1) = 2, y'(1) = 0,…

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Q: Find the general solution of the system with the following equations. dr :-12y + 6z, dt dy =1- 7y +…

A: To sole the given system of differential equation first we need to convert the given system into…

Q: 2)By using Gramer's method to solve the system x + 2y+ 3z = 0 %3D 2x + 3y+ 8z = 0 x + 5y+ 11z = 0 ,…

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Q: Use carmer's rule to solve the system  x+2y-4z = 0 2x+5y      = 4         y- z   = 3

A: Firstly find ∆,∆x,∆y  and ∆z .If ∆,∆x,∆y,∆z≠0 then system has unique solution.and solution is…

Q: Consider the following linear equations: 2.x – y – 6z x - 5y – z = 4.x +y - z -2, -8, 13. Use Gauss…

A: We solve the given system by using Gauss Elimination method with partial pivoting.

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: Convert y" – 3t y'+3 y=cos(5 t) into a system of first-order equations.

A: The given differential equation is                                             y''-3ty'+3y=cos(5t)

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: 2)By using Gramer's method to solve the system x + 2y + 3z = 0 2x + 3y + 8z = 0 x + 5y + 11z = 0 ,…

A: A system of equations is given. We need to solve it by Crammers rule. The solution is explained…

Q: Q: find x, y and z for the following system by using Gaussian Elimination Method and back…

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Q: 1. By using back-substitution to solve the systems a) x - y = 4, 2y + z = 6, 3z = 6; b) -x+y - z =…

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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: Find the general solution to the homogeneous system of DE: -3 x' = Ax where A = 3 15 -3 3 18

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Q: 2. Solve the given linear system using: 2.x+3y+z =-1 3x +3y+z = 1 LU -Factorization 2.x+4y+z =-2

A: For the solution follow the next steps.

Q: Q1- reduce the equation to system of first I.V.B yih -tAy" + 4y" = 0, y(1) = -1, '(1) = 2, y'(1) =…

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Q: Consider the linear system: 2x+y=3, x-3y=1. Find the approximation of the solution after applying…

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Q: 2. Solve the non-linear system x²x+y = 0.5 and ² - 5xy - y = 0 using initial values x0 = 1 and y0 =…

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Q: Consider the system described by the difference equation Yn+28yn+1 + 16y, = n4" + 3". Find the…

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