[12 7 3 s. For 1 5 x, 2 7 -11 values of [x, x, x,] at the end of the third iteration in the Gauss-Seidel method. 22 7 and using [x, x, x,]=[1 2 1]as the initial guess, give the Answer: Iteration |e.% X1 X2 X3 What can you conclude about the actual solution of the given equation?

Q: 1. The next iterative value of the root of (X2-4 = 0) using the Newton-Raphson method, if the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 12 7 3 22 1. For| 1 5 1 x, = 7 and using x, x, x3=1 2 1 as the initial guess, give the 2 7 -11 || X3…

A: We can solve this from given data

Q: Find y(2) by using Euler method if y(1)=2 and dy=xydx , n=4

A: We need to find the value of y(2) using Euler's method.

Q: onsider that, we have the following initial value problem: y' = et-y, y(0) = 1, 0<t<1 ; se…

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Q: Q5: Use Euler method to solve the following O.D.E. ý = 3- x² + y² With the initial condition y(0) =…

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Q: Use the Adams-Bashforth-Moulton method to approximate y(2.4), where y(x) is the solution of the…

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Q: Do the following as indicated: Give a particular solution for y" – 2y' + y = 3e*. Give a particular…

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Q: Solve for the two positive values of x that satisfies the equation e* = 3x² Using the following…

A: Note: We are entitled to solve the question by one method only. As the specified one method is not…

Q: 4. Using [1,3, 5]' as the initial guess, find the value of_r1, T2, X3]' after three [12 7 3…

A: Solution: The equations are 12x1+7x2+3x3=2 x1+5x2+x3=-5 2x1+7x2-11x3=6 From the above equations…

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A: Please see the attachment

Q: 1. Find values of Ci and C2 so that the given functions will satisfy th prescribed initial…

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Q: Consider the DE y'=(5x+y+7)^2,y(0)=1 Solve it numerically using Euler’s method (n=4) to estimate…

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Q: 2) Suppose A is a constant such that Ae2a is a solution to the DE y' + 4y + 3y = e2a. Find the…

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Q: 12 -2 1 -2 X1 6. -2 13 -2 -6 X2 -3 1 -2 -11 -4 -3 X3 1 1 16 4 9. X4 14 2 4 4 18 X5 7 -2 -2 3 -7 14…

A: Since you have asked multiple questions, we will solve the first part for you. If you want any…

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A: Adams Bashforth method to appropriate the solutions According to our guidelines we are supposed to…

Q: 1. Expand x³y²(x + y)12. E15.(15) xn+3y15-n ,15-п а. n 12 b. Eo () xn+3y14–n ELo (5) xn+3y14-n С.…

A: From the given information. The given expression is .

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Q: b) For n=5, calculate by applying Simpson's 1/3 and 3/8 rule together. Analytical Also get the…

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A: Let us start solving the problem step by step...

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Q: Q1-Find dy / dx for the following functions : e0 -2 2.8ln2 Y: Cosh9x * Inxy 4 6. cos0 log2 2 Q2-…

A: By bartleby rules, only Q1 has been answered.  Given function is…

Q: 4. Use Euler's method to a) compute y(1), where y(x) is the solution of the initial value problem:…

A: For (a), We are given the following initial value problem.       dydx+3x2y=6x2;  y(0)=3   -----(1)…

Q: 5. Use Runge-Kutta Method (R-K Method) of order 4 to solve the Initial Value Problem y' = te3t – 2y,…

A: given y'=te3t-2y , 0≤t≤1  with y0=0 and h=0.5 use Runge kutta method , find the errors if the exact…

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Q: The poaching model for Species X is X' = 0.000769 X (1 – X) – 0.000846 where the variable X…

A: Let ft,X=0.000769X1-X-0.000846. Substitute 0 for n, 0.2 for h, 0 for t0 and 1143 for X0 in the…

Q: 20 3 -1 1 -7 X1 14 1 -3 1 8. X2 -2 12 2 1 X3 7. -3 -1 18 -4 8. X4 18 1 -3 -3 17 -1 X5 4 -1 2 10 -1…

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Q: O 5.3827 Apply the improved Euler method to approximate the solution of the initial value problem…

A: Formula used: Improved Euler's method yx+h=yx+h2fx,yx+fx+h,y~x+h, where y~x+h=yx+hfx,y.

Q: -+x Let y(x) = e? be the exact solution to the initial value problem (IVP) y' = xy + y, y(0) = 1. 1)…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: If f(x) = x³ – x – 1 and po = 1 in Newton-Raphson iteration, then pı is equal to Select one: O a.…

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Q: 2. Use each of the Adams-Bashforth methods to approximate the solutions to the following…

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Q: 12 7 3 22 For 1 5 2 7 -11 || X3 1 7 and using [x, x, x3]=[1 2 1] as the initial guess, give the - 2…

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Q: [12 7 For 1 5 1 2 7 -11x, values of x x, x] at the end of the third iteration in the Gauss-Seidel…

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Q: [12 7 3 [227 For 1 5 | 2 7 -11||X3 1 7 and using [x x x]= [1 2 1] as the initial guess, give the…

A: The Given set of equations are 12x1+7x2+3x3=22x1+5x2+x3=72x1+7x2-11x3=-2 and the given initial…

Q: 2. Suppose the ode y" - 4y' – 5y = g(t) has y = 3t³ as a solution. %3D a. What is the general…

A: Given differential equation is y"-4y'-5y=gt                                   …(1) (b) Since y=3t3…

Q: Given y" + 2y' + y = 3t*e^(-t) whent = 0, x = 4 and x' = 2. Solve for its solution Y(s). a. Y(s) =…

A: we have to solve for Y(s).

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Q: 25.2 Solve the following problem over the interval from x 0 to 1 using a step size of 0.25 where…

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