Q5. Given the following system of equations 4х, + 5х3 3D 12.5 х1 + 6х, + 2х; 3D 18.5 (8x1 + 2x2 + x3 = -11.5 (1) (2) [0] Initial guess x(0) = |0|, solve this in 4 iterations by using a. Jacobi methods b. Gauss-Seidel method

Q: (v³x - 2x4) p + (2y4 - x³y) q = 9z

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Q: If a, ß and y are the roots of the equation, x³ - x - 1 = 1 + a 1+ B + 1 - α - 1- B + 0, then 1 + y…

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Q: 4. (a) (i) Calculate (4 + 6i)².

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Q: Consider the equation (34)x = (3y)s where x and y are unknown. The number of possible solutions is

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Q: Solve the difference equation: 3 (²7) y[n+ 2] - n> 0 y[0] = 10 and Y y[n + 1] + y[1] = 4 n (1) ₁…

A: Given difference equation is ,      yn+2-32yn+1+12yn = 14n   ;  n≥0     ;  y[0]=10  and  y[1]=4 (.)…

Q: a) Find the solution of q+ xp = p' by Charpit's method.

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Q: Solve the difference equation In+2 + In+1 – 2.x, = 0 subject to the initial conditions ro = 1 and r…

A: To find- Solve the difference equation xn+2 + xn+1 - 2xn = 0 subject to initial conditions x0 = 1…

Q: -5x +3x – 28 dx (x – 1)(x² + 9)

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Q: Use the method of separation of variables to solve : xyu̟ +2u, = 0, Q.4 U(x,0) = 3x*.

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Q: S by ys-y Solve nod metho =x² +2

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Q: 6. Find the positive number that when multiplied by 15 is equal to its square subtracted from 34.

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Q: Q3) Solve the initial value problems: -V++ 2=0

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Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

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Q: 1. Solve (D¹⁰ + 3D³ – 20D6 – 48Dª + 64D²)y = 0 10

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Q: Use the Gauss-Jordan method to determine all solutions: 1.     2x2 + 2x3 =4 x1 + 2x2 + x3 =4…

A: Given system of equations is  2x2+2x3=4x1+2x2+x3=4x2-x3=0 Matrix form of the system is given by…

Q: 5. Solve Equations 2x+y+z=5,3x+5y+2z=15,2x+y+4z=8 using Gauss Seidel method

A: Given equations are2x + y + z = 53x + 5y + 2z = 152x + y + 4z = 81

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: -0.4x2 3.2x2 -2x2 11x3 -0.9x3 2x4 X4 5x4 4x3 10x3 -0.4x4 -6.xs 7x5 4.8x5 6xs 6 = -2 ||||||||| 9 1

A: Given: System of equations -0.4x2+11x3+2x4-6x5=6 3.2x2-0.9x3+x4+7x5=-2 -2x2+4x3+5x4+4.8x5=9…

Q: Solve the following equations system 0.17 – j0.2V, =1 - j0.2V, +(0.2+ j0.3)V, = j0.5 V,= 3.3333 +…

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Q: Q2) Solve the following LPP by Two Phase simplex method. Min Z = 10x1 +6x2+2x3 s.t -x1+x2+x3>=1…

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Q: b) Find particular solution of х*у 3- (х-1) у. У(1) — 1. У(1) %3D 1.

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Q: Solve by gauss elimination method: 15 x + y + z = 17; x + 15y + z = 17; x + y + 15z = 17

A: Consider the augmented matrix of the system.

Q: Q#1. Solve the following (0) 2x* - 32 =0 (i) 3y - 243y = 0

A: An function or an equation is a relation between an input and an output variable. It can solved by…

Q: Q.2: Find a solution for the following simultaneous equat Gauss- Elimination method. 2x + 5y = 2 -4x…

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Q: Solve Using Gauss-Jordan x₁ − 2x2 + 3x3 = 11 x1 - 4x1 + x2 x3 = 4 2x1 x2 x₂ + 3x3 = 10 x1: x2: x3: -…

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