Calculate X1, X2, X3, and X4 using Gaussian elimination method X, +2X, + 3.X, + 4.X, = 52X, +X, + 4X, +X, - 23.X, + 4.X, + X, + 5.X, = 62.X, + 3.X, + 5.X, + 2.X, = 3

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Answered: Calculate X1, X2, X3, and X4 using…

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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Solve the initial value problem by the linear or separable method
Solve the following system of linear equations by Jacobi method for 'K= (0,1,2,3) 5X₁ X₂ + 3x3 = -2 X₁ + 2X2 = 3 2 x₁ - x2 - 4 X 3 =6
Let x1 and x2 be two different solutions of the following linear equation system. Here, if x1 = (1,1,-3,1), x2 = x1 + xd, find all xd where C^Tx2 - C^Tx1 = 1 However, c^T = [1 1 2 1].
A firm manufactures boats and trucks : the quantity of boats manufactured is B and the quantity of trucks manufactured is T.The total cost of manufacturing benches and tables is given by the equation:Cost = 3B^2 + 5T^2 − 2BT.There is a shortage of manufacturing material available, and so, only 60 items in total have been promised to a customer.(i) Create the Lagrangian expression for Cost(ii) The Lagrangian equations are given:6B – 2T – λ = 010T – 2B – λ = 060 – B – T = 0Calculate the minimum cost. (iii) If more material now becomes available, what selling price would be required to make a profit on an additional item produced?
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Find x1, x2, x3 with gauss jordan
What is S (x² + 2x)² dx? 4 S(x² + 2x)²dx = 1x¹ + x³ + 3x² + C 4 4 S (x² + 2x)²dx = ¹ (x² + 2x) ª 3 1 S (x² + 2x)²dx = } (x² + 2x) ³ S (x² + 2x)²dx = ²x³ + x² + 3x³ + C 37
Use the Method of Undetermined Coefficients to determine the form of the particular solution of y - 84 + 157 = alc) for each g (x). g(x) = 3x - 4 Ax e^(3x) glx) = e^(3x) (Ax + B) e^(3x) glx) = xe^(5x) (Ax^2 + Bx) c^(5x) gix) = x^2 Ax^3
За 2-Show that the method xn+1 =Xn 6+ ,converage to vā. %3D

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