Solve the equations Ax = b using your programs where 1.44 -0.36 5.52 0.00 0.04 -0.36 10.33 -7.78 0.00 -2.15 A = b = 5.52 -7.78 28.40 9.00 0.00 0.00 9.00 61.00 0.88 by: Gauss elimination • LU decomposition methods Iterative methods Use hand computation for methods you did not program.

Q: Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem…

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Q: 04: The linear system of equations [2 1 0 x, |1 1 0x, 0 0 2 4 has an exact solution i = (1,2,–1).…

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Q: 8x + 20y + 15z = 50 20x + 80y + 50z = 250 15x + 50y + 60z = 100 Perform the first three iterations…

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Q: 11.) Use a numerical solver to approximate y(1) for y' = 2xy², y(0) = 1 using Euler's method with h…

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Q: We consider the initial value problem 9z?y" + 33zy' + 20y = 0, y(1) = 3, y'(1) - -6 By looking for…

A: As per our guidelines, I can answer maximum three subparts of a question. To know rest, please…

Q: A certain physical system is governed by second-order initial value problem of the form a"(t) –…

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Q: Use the Gauss-Seidel iterative technique to find the 3rd approximate solutions to 2x1 + x2 – 2x3 = 1…

A: we take x1=w, x2=y, x3=z So we need to solve the system  2w+y-2z=12w-3y+z=0w-y+2z=2 Starting with…

Q: 1. Solve the following system 2х — 6х2 — хз — — 38 —3x1 — х2 + 7xз 3D 34 -8x1 + x2 – 2x3 = 20 using…

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Q: 3. Using Jacobi Method, obtain the solution to the system 21 + 522 + 33 = 30 3x1 + 7x2 + 13x3 = 80…

A: Let us solve the system of linear equations using Jacobi Method in the next steps.

Q: 2. Using (a) Jacobi Iterative Method and (b) Gauss-Seidel Method, obtain the solution to [12x₂ + 3x₂…

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Q: No. 3. GAUSS-SEIDEL ITERATION APPLICATION Find the solution for x, X, and x, if a set of linear…

A: I am taking x1,y1 and z1 as x,y and z respectively to avoid confusion.

Q: 2. 0.X₂ Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of…

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Q: Q6 (a) Use Gauss-Seidel Method to obtain the solution of the following system: 0.4х, — (2 + A)х,…

A: For simplicity I use X1=a X2=b X3=c and you give A=0 and so here it is

Q: Using Gauss-Seidel Method solve the following system: 2х1 — бх2 — хз %3D —38 - -3x1 – x2 + 7x3 = 34…

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Q: In solving IVP numerically, Euler method gives high accuracy with large step-size h. Select one: O…

A: For Euler's method, the error made in one step is called the local truncation error or LTE . It is…

Q: 1 (4 points). Find the fundamental set of solutions of the equation y" – 4 = 0. 2 (4 points). Find…

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Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 0.02z1 - 0.05z2 = -0.19…

A: Consider the given system of equations, 0.02x1-0.05x2=-0.190.03x1+0.04x2=0.52 So, the matrix form of…

Q: 04: The linear system of equations 2 1 4 1 1 0 x2 3 0 0 2 -2 has an exact solution * = (1,2,–1).…

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Q: Use the Gauss-Seidel method to find approximate solutions to -1 +3x2 +x3 = 5 2x1 + 2x2 +5x3 1 4x1 +…

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Q: i) Maktoum was using iterative methods to solve equations in MATLAB. For the equation f(x) = x3 + 5x…

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Q: 2(y³ – 2) + 3xy²y' = 0,y(3) = 1 %3D -

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Q: 6. Use Euler's method with step size h mate the solution to the initial value problem = 0.2 to…

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Q: Using (a) Jacobi Iterative Method and (b) Gauss-Seidel Method, obtain the solution [12x₂ + 3x₂ −5x₂…

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

Q: please Solve it just with Denz-Wolf decomposition technique I dont want exel solver Do it on paper

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Q: The Fixed-Point Iteration method of finding roots of nonlinear equations falls under the category of…

A: We have to find the correct option from the given options.

Q: 04: The linear system of equations 2 10x, 4 11 0x, 0 0 2 x, has an exact solution * = (1,2,–1). Find…

A: The given linear system of equations is, 210110002x1x2x3=43-2 Simplify the matrix and the equations…

Q: х+у+2z %3D0 Solve x - у + z %3D —1 2х + у +z %3D2 by Gaussian elimination. а. (1, -1, -1) b. (1, 1,…

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Q: Q3: The Gauss-Seidel is considered to approximate the solution for the linear system Ax =b. Given…

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Q: 5. Use Runge-Kutta Method (R-K Method) of order 4 to solve the Initial Value Problem y' = te3t – 2y,…

A: given y'=te3t-2y , 0≤t≤1  with y0=0 and h=0.5 use Runge kutta method , find the errors if the exact…

Q: dC₁ = -k₁C₁ + k₂C₂ dt dCB dt B = k₁C₁-k₂C₁ Solve this ODE-IVP system in Excel up to 2 min with a…

A: We are given the following information.           k1=1 min-1k2=0.5 min-1CA0=1  (gmol/L)CB0=0…

Q: 4. (a) Compute the general solution for: +4- +3y=e-¹/2 dt² dt (b) Compute the solution with y(0) =…

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Q: We consider the initial value problem 9z²y" + 9zy' + y = 0, y(1) = 3, y'(1) = 2 By looking for…

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Q: 3. (a) Showing the details, find all solutions or indicate that no solution exists for 5x – 3y + z =…

A: Detailed solution to the question is given below.

Q: 4. A tank initially holds 80 gal of a brine solution containing 1/8 Ib of salt per gallon. At t = 0,…

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Q: 04: The linear system of equations 2 10 X 4 1 1 0| x, | = 0 0 2 || X3 2 has an exact solution i =…

A: Given: The linear system of equations: 210110002x1x2x3=43-2 Exact solution: x=12-1t

Q: Using Gauss-Seidel Method, obtain the solution to the system; x1 + 5x2 + 3x3 = 30 %3D 3x1 + 7x2 +…

A: Given that,x1 + 5x2 + 3x3 = 303x1 + 7x2 + 13x3 = 8012x1 + 3x2 -5x3 = 2 Initial Approximation is…

Q: (b) Differential equation in Q3(a) is added with 4e and 10e* as y =6y, +y; +4e* Y; =5y, +2y, +10e*…

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Q: -1 4 1 X1 X2 100 100 -1 1 -1 4 -1 100 100 100 1 -1 X4 Xs 1 -1 4 2. Solve for the unknown terms by…

A: Given: 4x1 -x2 +x4=100-x1 +4x2 -x3+x5=100-x2 +4x3-x4=100x1-x3+4x4-x5=100x2…

Q: Starting with xT = [x1, x2, x3] = [2, 2, 2] use Gauss-Seidel iterations without relaxation to solve…

A: Consider the provided question,

Q: Q5 B part uestion 5 11 1 Let A = 2 3 5 3 9 7. a) Find A using the cofactor method, No credit wilL be…

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Q: We consider the initial value problem zy" – 7zy' + 16y = 0, y(1) = -2, y'(1) = -9 By looking for…

A: As per our  guidelines, I can answer maximum three subparts of a question. To know rest, please…

Q: sid c Use the Gaus5-Seidel method to find approximate solutions to -21 +3x2 + x3 = -4 2x1 + 2x2 +5x3…

A: Solution: Using the Gauss-seidel method to find solution -x1+3x2+x3=-42x1+2x2+5x3=14x1+x2-x3=5…

Q: 1. Use the Gaussian Elimination method to solve:•1x + 2y + 3z = 14•2x + 1y + 3z = 13•2x + 3y + 1z =…

A: First we write the equations

Q: 2. Using Gauss-Seidel Method, obtain the solution to the system X1 +5x2 + 3xX3 = 30 3x1 + 7x2 + 13x3…

A: The coefficient  matrix is 1 5   33 7  1312 3-5, now this matrix is not diagonally dominant, we can…

Q: (f) xy' = y² +y ху

A: # we are entitled to solve one question at at time, please resubmit the other question if you wish…

Q: The objective of this article is to investigate some alitative behavior of the solutions of the…

A: In this question, the explanation of the step of how the equation is derived is done. P-QA+1-B+C+D=0

Q: The poaching model for Species Y is Y' = 0.001 Y (1- Y)-0.001231 where the variable Y represents the…

A: The objective is to solve the differential equation with help of Euler's method…

Q: 3. Mixing tank A holds 100 L of water in which 0.04 kg of salts is dissolved. Suppose tank B…

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Q: 2. Gauss-Seidel's Method. Stop at 4th iteration. (correct to 3 decimal places) 15x + 3y - 2z = 85…

A: Use the procedure of Gauss Seidal method with initial guess (0,0,0) to proceed further as in next…