Find the root of the following equation using Newton Raphson method where the initial value of x equals to -1 after two iterations y=x3 + 2x + 4

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A: As per our guidelines we are supposed to answer only first question please repost other parts in the…

Q: Determine whether the following equation are separable. If so, solve the initial value problem.

A: The given equation is Simplify it It implies that the given equation is separable.

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Q: 1. Solve by fixed-point iteration: x* – x – 0.12 = 0 a. Do 5 iterations with xo = 1 b. Do 5…

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A: Consider the following differential equation: F't=ftdFtdt=ftdFt=ftdt Integrate the above equation:…

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Q: Solve the following differential expation (1) -- 6y 0

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

Q: Solve the following differential equation by using method variation of parameters.    y'' + y' - 6y…

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Q: Solve the initial value problem to find f(x), given 2 =1+ 4x? when f(-1) = 4 dx

A: Satisfied condition of differential equation

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Q: 8.) y' = x-y+5 x+y-l

A: To solve the differential equation.

Q: 4. ydx = 2(x +y)dy

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Q: olve the following differential equation by using variation parameters method: -9x "+6y'+9y=2+ e

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Q: Answer by (True) or (False) Only: 1. The next iterative value of the root of (X²– 4 = 0) using the…

A: As Many Questions are given , I will solve only the first f(x)=x2-4=0 Taking Initial guess , x0=3…

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Q: Use the Euler method to solve the following equation analytically for .five iterations. Given that…

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Q: 6. y' = x- 2y cot 2x

A: Given that the equation y' = x - 2y cot 2x y'+ 2cot 2xy = x  This is a linear differential equation…

Q: 12 2. X' = 4 %3D

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Q: = 2x- y dx

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Q: . Solve the following differential equation by using variation parameters method: y " + 6y' + 9y = 2…

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Q: Consider the following equation f(x)=x²-2x+2 whose roots we seek with an initial guess of x-4. Fixed…

A: We have to find the correct option.

Q: Solve the following differential equation by using variation parameters method: y" + 6y' + 9y 2 +…

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Q: Q-the Newton raphson method is applied to find the root of f(x)= x* -1 with an initial guess Xo =0.5…

A: Given function is, fx=x2-1......(1)fxn=xn2-1....2 Differentiating the equation (1) up to first order…

Q: Solve

A: We will solve the Differential equation.

Q: Solve the following initial value problem. y(4) = - 2 sint+3cos t with y'''() = 8, y"(0) = - 3,…

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

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Q: Solve the following differential equation by using variation of parameters: X^2y" - 2ху'+2у-х^4е^х

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Q: Use the Euler method to solve the following equation analytically for five iterations. Given that…

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Q: Solve the following differential equation by using variation parameters method: y" + 6y' + 9y = 5 +…

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Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

A: Topic = Differential equation

Q: Find the root of the following equation using Newton Raphson method where the initial value of x…

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Q: y" + 4y = 4sec²2x

A: We have to solve the differential equation