: Given the equations Зх, — 2х2 + xз --10 2x, + 6x2 – 4x3 = 44 -X1 - 2x2 + 5x3 = -26 %3D Solve by LU Decomposition.

Q: Solve Cauchy-Euler equation. a2y"-2y 2x %3D

A: (1) The equation is, x2y''-2y=2x Take y=xm Then take the derivative, y'=mxm-1 Take the derivative…

Q: Que.5: Solve 10x – 7y+3z+5u = 6, - 6x+8y – z-4u = 5, 3x+ y+4z +1 lu = 2, 5x -9y-2z+4u = 7 by using…

A: According to Gauss elimination method, solution of system of linear equation can be found by writing…

Q: Solve the equations 3x + y + 2z = 3; 2x – 3y – z = 3; x + 2y + z = 4 Using Gauss Elimination method

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Q: Solve the following system of equations by LU decomposition: 8x1 + 4x2 - хз %3 11 -2x1 + 5x2 + x3 =…

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Q: Solve the following system of liniar equation by gauss-Jordan method.

A: The given system of linear equations is as follows. The augmented matrix for the given system of…

Q: 4. Use the method of variation of parameters to find the general solution of the equation

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Q: 1.) Solve using Gauss-Jordan Elimination. -3x + 2y- 6z = 6 5x+ 7y-5z = 6 x + 4y - 2z= 8

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Q: Solve by using Gaussian Elimination:                 2X   +   3Y   -    Z    =    16…

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Q: Solve the linearsystem by GE method X- 2y + 3z =9 --x + 3y = -4 2x 5y + 5z = 17

A: This is the correct answer, verified multiple times.

Q: 4. Solve the DE, = ! + 2(4), using the homogeneous method.

A: Given, dy/dx = y/x +2(y/x)3/2        .............(1) Assuming  y = vx Differenetiating y with…

Q: Solve using Gauss Jordan method. 2x-y+3z=24 2y-z=4 7x-5y=6

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Q: 6. Solve using Jacobi Method 5х — 2y +3z %3D-1 2х — у — 7z %3D 3 -3x + 9y + z = 2

A: the Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally…

Q: he general solution of y" +

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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: Find the general solution of (D3-D2+D-1)y = 15sin2x using method of undetermined coefficient.

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Q: Solve following system of equation using triangular decomposition method? 4x1 + 3x2 - x3=-2. -2x1-…

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Q: use the two phase method to solve the lp MAX -  4x1  +  x2 - 2x3 st --    2x1 + 2x2 + x3 = 4 x 1+…

A: We can solve this using two phase method

Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

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Q: By using linear method, solve dy %3D

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Q: 23: Solve the following system of equations by LU decomposition: X1 + 7x2 – 4x3 = -51 %3D 4x, – 4x2…

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Q: Solve the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

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

A: Stape by Step solution given below.

Q: -8x1+3x2-6x3+2x4 = -5 5x1+6x2+2x3-4x4 = -8 -3x1 +2x2-7x3+5x4 = 4 4x1 -5x2+3x3-6x4 = 9 %3! Solve the…

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Q: Solve the equation by determination method: Inx + ev + tanz = 3 .. (1) 2lnx + 4tanz = 5+ e - (2) 3ey…

A: here in question, every variable is in form of ln, tan, and e so by determination method solving…

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

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Q: > -3X1 + 9X2 + X3 = 6 • 5X1 – 4X2 + 15X3 = 9 • 4X1 – X2 + 2X3 = 15

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

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Q: Find that solution of y’= 2(2x-y) which passes through the point (0,1). Use Linear Equation of Order…

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Q: Solve using Gaussian method 3x+5y+2w=-12 2x+6z-w=-5 -2y+3z-3w=-3 -x+2y+4z+w=-2

A: The solution for the set of equations using Gaussian method.

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

A: Standard partial differential is given as: p∂u∂x+q∂u∂y=r Lagrange method for finding solution for…

Q: 1. (1-х)у' %3D у?

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Q: solve 1x + 2y + 3z = 1 2x + 3y + 1z = 2 3x + 1y + 2z = 3 using gauss elimination method. %3D

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Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general solution;…

A: We have to transfer the following Cauchy-Euler equation to a constant coefficient equation and hence…

Q: Use Gauss Jorden method to solve and also verify the solution. 5x-2y+z=2 3x+2y+7z=3 x+y+3z=2

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Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: Solve the value of x in the given equation _by Jacobi and Gauss-Seidel Method. 13x2 + 4x3 = 111 4x1…

A: Given the equation system  19x1-13x2+4x3=1114x1+22x2-13x3=-1288x1+8x2+17x3=10 We have to solve the…

Q: Solve using Gaussian method 5x+2y+z=-11 2x-3y-z=17 7x-y=12

A: Consider the system of equation.Rewrite the system of the equation in matrix form as follows.

Q: Use Gaussian Eleminetion to solve 20+ y + 2Z =8 3y + 3Z a-4 4¢ + 24 - Z = Iv

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Q: Solve the equations by Gaussian elimination: 4x + 6y – 2z = 8 6x + 9y – 3z = 12 -2x - 3y + z = -4

A: Solution using Gaussian elimination is given below

Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: 1. y' = x3 – 2xy, when x = 1 and y = 1

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Q: Solve by the substitution method. 2х — 5y %3D 8 x = 4y + 4 (х, у) %3

A: We have to find value of x and y by substitution.

Q: Solve Using left to right elimination method x-2y-z=0 x-3y+z=1 3x-6y+z=12

A: The given equations are, x-2y-z=0                                                       1x-3y+z=1…

Q: -8x1+3x2-6x3+2x4 = -5 %3D 5x1+6x2+2x3-4x4 = -8 -3x1 +2x2-7x3+5x4 = 4 4x1 -5x2+3x3-6x4 = 9 %3! Solve…

A: The solution is given as

Q: Solve using Gauss-Seidel Method 2x + y - z = 10 X - 3y + z = 3 2x + y + 3z = 9

A: The given equations are; 2x+y-z=10 x-3y+z=3 2x+y+3z=9

Q: Solve by Z method dz 2. 1-2²

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Q: 2.SOLVE BY GAUSS ELIMINATION METHOD 2X - Y+3Z = -3 3X +3Y Z 10 X-Y + Z = -4

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