QUESTION 3Solve the following Boundary value problem using Finite difference method. Note use the GaussSeidel method to solve the resulting system of equations.y-(1-y-x-0, for y(1) =2 and y(3) = -1Attach FileBrowse Local FliesBrowse Content Collection

Given y''-1-x5y-x=0, y1=2, y3=-1

Answered: QUESTION 3 Solve the following Boundary…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the system of linear equations: X1 + kx2 2x1 + 4x2 = 1 = k 4x1 + 8x2 = 4 where k e Ris a parameter. Find the value of k for which the system is consistent. [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.] Answer:
Q.1
2. Determine the solution of the system of equations [a][x]=[b] using the Gaus elimination method, where -2 [X1 10 2 and b -5|,x = |X2 [X3] a = -16 -1 8.
The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400- 300 X2 X1 X₂ XS (a) Solve this system for x,, i = 1, 2, (X1 X2 X3 X4 X5) = X4 (b) Find the traffic flow when x3 = 0 and X5 = 100. (X1, X2, X3, X4, X5) = (c) Find the traffic flow when x3 = X5 = 50. (X1, X2 X3 X4 X5) = -600 .., 5. (If the system has an infinite number of solutions, express x₁, X2, X3 X4 and x5 in terms of the parameters s and t.) 100 *
1. (System Of OF below. Show manual calculation. Linear Equation) choose on one of Solve the system OF equation using direct methods 2x₁ + x₂ + x3 - 11x4 = 1 X3- 5x₁ - 2x₁ + 5x3 - 4x4 = 5 of the method = 3 x₁ - x₂ + 3x13 - 3x4 3x + 472₂ - 7x3 + 2xy = -7 a. Gauss Elimination b. LU Factorization c. Gauss Jordan method
2- Use Gauss Elimination method to solve the following system: 4x1 +5x2 + x3 = 2 3x1 + 2x2x3 = 4 - 2x₁-x2+2x3 = 10 X1-2x2-3x3 = 7 X1-3x2 - 4x3 = 5. 3x₁x2-2x3 = 1.
For which value of kthe system of the linear equations below has infinitely many solution? x + ky = 1 2x + (3k – 2) = 2 (a) 5 (b) 4 (c) 3 (d) 2 (e) 1 Ob
Apply karush kuhn Tucker's theorem to show that x(0,0) is not the solution of the following problem: Observation: Please check the picture attached where you can find the system of inequalities that needs to be solved.
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Hello. Please answer the attached Linear Algebra question correctly and completely. Please handwrite your solution and show all your steps. *If you answer the question correctly, I will give you a thumbs up. Thanks
Solve the system of linear equations by iteration method (4 iteration). x - 4 y +7 z = 10 5x - 4 y + z = 0 - 4x + 6 y - 4 z = 5 1. X= * X= 1/5(3y-2z) X= 1/5(3y-z) X= 1/5(4y-z) 2. y= * y= 1/6(5+4x-4z) y= 1/6(3y-z) y= 1/5(4y-z) 3. Z= * O z= 1/7(10-x-4y) Z= 1/6(3y-x) Z= 1/5(4y-4x) 4. When first iteration * O X= 0, Y=0.833, Z=1.905 X= 0, Y=1.833, Z=1.905 X= 0, Y=0.833 ,Z=3.905 5. When third iteration * X= 1.295 , Y=0.833, Z=3.241 X= 0, Y=1.833 ,Z=1.905 X= 1.295 , Y=3.495, Z=3.241 O O O O O O O O O
4.2) Solve the given system of equations using Gauss-Jordan Reduction method.

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QUESTION 3 Solve the following Boundary value problem using Finite difference method. Note use the Gauss Seidel method to solve the resulting system of equations. y-(1-y- x-0, for y(1) -2 and y(3) -1 Attach File Browse Local Fles Browse Content Collection