Exercise (3) Solve the following equations 13x, + 5x2 – x3 = 24, 4x1 – x2 - 55x3 = 17, %3D 17x, + 35x2 + 15x3 = 32 By the methods (1) Gauss-Jordan method (2) Jacobi method (3) Gauss-Seidal method

Q: 1/5x+1/7y=12/5 1/10x+1/3y=5/6 use elimination method or has dependent equation

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Q: 2 Solve [(1 + 2x)²D² − 6(1 + 2x)D + 16]y = 8(1 + 2x)² by using method of undetermined coefficients.

A: Let's solve given differential equation.

Q: 2. Find the roots of 3x -9x + 2 = 0. Solution: 3x2- 9x = 3(x2-3x + 19 3(x-, 4. X1 =- and X2 = 2. 3I2

A: To find: the roots of the given equation

Q: Draw the block diagram of Gauss-Seidel Method with E< 0.0001 to solve 3x, - 0. 1x2 - 0.2x3 7.85 %3D…

A: x1 = (7.85 + 0.1 x2 +0.2 x3)3 x2 =(-19.3 + 0.3 x3 -0.1 x1)7 x3 =(71.4 - 0.3 x1 +0.2 x2)10

Q: (b): Solve the following PDES (3) um -14u, + 45y = 0. %3D

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Q: solve by gauss seidal method  4x1-x2-x3=3    -2x1+6x2+x3=9   -x1+x2+7x3=-6

A: The Gauss seidel method is an iterative method to find the solution of the system of equations. We…

Q: 3) Solve the following equation system by LU decomposition method. x, +5x, - 5x, = 12 2x, +3x, +4x,…

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Q: Answer the following using Jacobi Method. Show complete solutions. 2.)  9x1 - 13x2 + 4x3 = 111…

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Q: Solve (D+2)x+ (D+6)=0 (2D+3)x+ (3D+8)=0 Ye=C₂X- (C₂/2X) Option 1 X(t)=-2d; e5d2e-lt Option 2 X(t)=…

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Q: 5. (a) Solve the simultaneous equations: 4x + 2y = 20) 5x – 2y = 7 5 %3D (b) M = ) N= ) 2 М — -2.…

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Q: Solve the following DE using the method of undetermined coefficients: а. у"-Зу'+2у%3D20хе Зх b.…

A: To find - Solve the following DE using the method of undetermined coefficients : y'' - 3y' + 2y =…

Q: the set of solutions of X2-X-6%3D0 is

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Q: Q1: Find the values for (X, Y, Z) for the following equations : X+ 4Y – Z = -5 - (1) 3X + 3Y – 18Z =…

A: The system of equation is ,    x + 4y - z = -5 .........(1)                                    3x +…

Q: Solve the following DE using the method of undetermined coefficients: a. y"-3y'+2y= 20xe3x b.…

A: a) y''-3y'+2y=20xe-3x Auxiliary equation m2-3m+2=0 m2-2m-m+2=0 mm-2-1m-2=0 m=2,1 yn=C1ex+C2e2x and…

Q: 3. Solve of the following system: -3x1 + x2 – 2x3 = -7 5æ1 + 3x2 – 4x3 = 2 X1 + 2x2 – 3x3 -1

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Q: 3w -2x + y +z =4 -2z+w+ 4x -8y = -6 5w + 2y - z +2y =4 6z-y +3w-x=3

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Q: Find solution of the following equation by the Gauss-Siedel method x₁ + x₂ + x₂=6 2x₁ - x₂ + x3 = 3…

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Q: 6y" – y' – y = 0

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Q: Find the value of a , and b using Gauss-Jordan Elimination method: X - X, - X3 + ax = b, * + x, + X3…

A: Instead of x1,x2,x3,x4 I choose x,y,z,w

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: 3x1 – 2x2 + 2x3 = 0 6. Solve *1 + 2x2 – 3xz = 0. by Cramer's rule 4x1 + x2 + 2xs = 0 -

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Q: 10. X1 + X2 - X3 = -3 6х1 + 2x2 + 2х3 D 2 — Зх1 + 4x2 + Хз 3D 1

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Q: Give the general solution of (3D5-13D4 +34D³-46D² +27D-5)y=0

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Q: 4x-12y+7z=10 x-4y+2z=4 -4x+11y-7z=-6 Use the gauss method and show every step please

A: The given system of equations,4x-12y+7z=10x-4y+2z=4-4x+11y-7z=-6

Q: 1- Given the equations; 2x1 — 6х2 — хҙ —D — 38 -3x1 – x2 + 7x3 = -34 -8x1 + x2 – 2x3 = -20 Solve by…

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Q: f(x) = x3 – 9x + 26x- 24

A: Muller method is a root finding method from numerical method of root finding. Now we use this method…