1. Find one of the roots of the following equation: x2 – 2x = 12 II - Using the iteration method, if you know that the first approximate root is 4 = x°

Q: Q.4. solve the following equations by using undetermined method (Choose only) one (1) y" - 5y + 6y=…

A: Solution is here

Q: Question 6 Using the method of undetermined coefficients, find the particular solution y, for the…

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Q: Find the positive root of the equation xe^x-3 using regula falsi method and correct to 4 decimal…

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Q: Q2-use Newton-Raphson method to obtain a root of equation x'-5x+3+0

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Q: Figure 1 Q2: Solve the following equation exactly ý + 2xy = x and y(0) = 1.5, h = 0.1 Use the Euler…

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Q: 4. Find an estimate of all the roots of the equation: 2* + 3e* = 25 using Newton's method.

A: We find roots using Newton's method.

Q: Q1: Find the general solution of the following equation. ỹ + 2y + y = cos²x

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Q: Given p(x)=x -3 and &, =0.01. %3D a) Obtain the root of p(x) using False Position and Bisection…

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Q: Show complete (detailed step-by-step) solutions to the following 2. Solve using the method of…

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Q: -3X1 + 9X2 + X3 = 6

A: Given,        -3X1+9X2+X3=6       5X1-4X2+15X3=9            4X1-X2+2X3=15

Q: O1: find the root of the following equation, x3 = 20 using Bisection method with X=1, xu=4, conduct…

A: Let, f(x) = x3 - 20. We try to find root of f(x) = 0, by bisection method with initial interval…

Q: Solve for a root/roots of the functions 1. f(x) = e¯* – tan x Applying the following methods a)…

A: Fixed point method: Let the equation f(x)=0 can be expressed as g(x)=x. Then the method converges if…

Q: Find the 3 roots of the equation x3-1.25x+0.25 using BAIRSTOWS METHOD. USE r=1 amd s=2

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Q: Starting with x 1 = 2 find the third approximation  x 3 to the root of the equation x3 - 2x - 5 = 0

A: Starting with x1=2, to find the third approximation to the root of the equation x3-2x-5.

Q: (b). Apply Newton's Raphson method and find the roots of the equatione-2x = 5x + 2, %3D corect to…

A: Let fx=e-2x-5x-2 ,then f(x)=0. Sine Newton's Raphson method is  xk+1=xk-fxkf'xk     , k=0,1,2,...…

Q: f(x) %3Dх3 — 5х? -2х + 10

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Q: Question 9 Determine the indicated root and solve as indicated and round to 2 decimal places if…

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Q: Q: 1. Find the roots of the following equation using the iteration method: y(t) = t2 - et/2 If the…

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Q: QUESTION 2 x" - 10x' + 29x = 0, x(0) = 2, x'(0) = 4 Solve the above IVP and put x(0.5) calculated to…

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Q: Find the root for the following equation that lies within the period [-1,0] using the Regula Falsi…

A: The root of the function can be calculated using numerical methods. The regula falsi method uses the…

Q: B- Find the root of the following equation (use Newton- Raphson method): 2x3 – 7x – 2 = 0

A: given equation is   2  x 3-7x-2=0   let f(x) = 2x³-7x-2=0 => f(x)=6x²-7   we have to find…

Q: Find the roots of the following equation x6 – x – 1 = 0 Using an initial guess of xo =1.5 ?

A: We have to find the roots of the given equation.

Q: Solve for the 1.Fixed Point-Alteration 2.Newton-Raphson Method 3.Secant Method a. 4x² + 3x - 3=0

A: According to guidelines we can solve only one problem

Q: Find a root for the following equation using the secant method. Start from r-1 = -2 and ro = -1.5,…

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Q: Given are the following nonlinear equation  f(x)=e-2x+4x2-36  find one of the roots with the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given p(x) =x -3 and &, = 0.01. a) Obtain the root of p(x) using False Position and Bisection…

A: The complete solutions are given below

Q: Find the solution of the following: 1. y' = sec2 y %3D

A: The given equation is a differential equation that can be solved with the help of integration.…

Q: Solve the equations by the method of undetermined coefficients. y''- y' - 2y = 20 cos x

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Q: Q1) Solve the following DEs а) ty" + (1 — 2t)y' + (t - 1)у %3D 0 y1 = et

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

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Q: Solve the following equation for 0 on the interval [0, 360°). 7V3 cot (0) + 4 = 25 Enter your…

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Q: Solve the following equation using bisection method to find the root between x₁=1 and x2=5, make 5…

A: We have to solve the following equation using bisection method to find the root between x1 =1 and x2…

Q: Find the roots of the cubic equation s3 - 2s -7 = Ocorrect to 2 decimal points using Newton-Raphson…

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Q: Find a root for the following equation using the secant method. Start from r-1 = -2 and ro = -1.5,…

A: Given fx=cosx+0.5x-1.1x-1=-2, x0=-1.5

Q: Solve the following equation y"+y' In|x|

A: Given : Differential Equation : y''+y'=ln|x| To Find : Solution of the differential equation. The…

Q: Determine the roots of the equations using iterative methods with initial values of 1. 2х + 6у + 3z…

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Q: Solve the following using the method of solving Bernoulli Equations. *+ tx* += 0 3.

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Q: 2-find the roots (three only) of the following equation , using simple Iteration method e - 3x = 0…

A: Consider the provided question, Given equation,  ex-3x2=0 Let  fx=ex-3x2 W need to find the roots of…

Q: Use the method of undetermined coefficients to solve the following problem. y - 4y = e¹t sin 5t, =…

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Q: Q 2. (a). Apply fixed point iteration method and find the roots of the equation 3x2 = sin x +8…

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Q: The equation 1.2x^3 +2x^2 20x- 10 = 0 has a root between x=-4 and x-5. Use these values for the…

A: We have to find the root of the equation 1.2x3+2x2-20x-10=0 using the secant  method. Secant method:…

Q: solve the following Equations using 4th order Runge- Kutta Method • Equatioras a. y = 2x3 b. y =…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Given that one root of the non-linear equation X^3 – 4x – 9 = 0 Find the root correct to four…

A: Newton Raphson methodxn+1=xn-fxnf'xn     ...(1)Given x3-4x-9 = 0x0 = 2.95

Q: Find two roots for the following equation using Newton-Raphson method: tan x +x-1=0

A: Given function is fx=tanx+x−1. We have to find the roots pf the given function by using…

Q: Solve the Following DE y-y-6y= 2sin X

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Q: QUESTION 2 x"- 10x' + 41x = 0, Solve the above IVP and put x(0.5) calculated to the nearest…

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Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: Given differential equation is 2y'' + y' + 6y = 51 cos 3x

Q: Find a root for the following equation using the secant method. Start from r-1 = -2 and ro = -1.5,…

A: The secant method can be used to calculate the root of the function. The formula used for the secant…