42 consider the following initial-value problem x= x² - 2x ++ -1, 02 +42₁ x(0) = 1₂ C.ll. Use two steps of the Euler method to approximate x/2) 2.22 Use two Speps of the Runge kutta (2) to approxima X (2).

Q: (2)Using the False position method with a, = 4 , bo = 5 to estimate the solution of the equation x3…

A: Here x3-7x2+15x-19=0Let f(x)=x3-7x2+15x-191st iteration :Here f(4)=-7<0 and f(5)=6>0∴ Now,…

Q: 2.1) SOLVE x²y" + xy² + (2x² - 2)y = 0 BY BESSELS METHOD

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Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: Determine an approximate solution of the equation z3 + 3xyz? – 5x²y²z+ 14 = 0 for z near 2, as a…

A: To determine : an approximate solution of the equation               z3+3xyz2-5x2y2z+14=0 for z near…

Q: 1. Find the smallest positive root of the equation x In x = 1 correct to the three decimal places by…

A: Firstly we solve given equation xlnx-1=0,  (a) Using method of false Position, And then we solve in…

Q: 2.2 Solve y = x – y + 1 for y(0) = 1 and x = 0(0.1)0.3 , using the Runge-Kutta method of order four.…

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Q: Find the smallest positive root of the equation x-x-10 = 0 using Newton Raphson method correct to…

A: The equation is x4-x-10=0. That is, fx=x4-x-10. Find the value of f1 and f2.…

Q: 1. (x + √y² + 1) dx · (y – H.W. solve the following D.E. xy - - √12241) dy = 0

A: Step 1:

Q: { 5) Solve the following IVP y' = t² ((1 + t³) y)−¹, y (0) = yo. of the solution. and find the…

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Q: 3.1 Consider *+z+3z-sint=0, z(0)=-1, ż(0) = 1. Use the second order Runge-Kutta method with h = 0.2…

A: The Runge-Kutta method is a step-by-step method to find the approximate solution of the differential…

Q: 1. Solve for P given P' = 6t√P √² +3 with P(1) = 25.

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Q: Find the first approximation to the root of the equation xlog r-0.8 0using Regular-Falsi method…

A: The false position method or the Regula-Falsi method uses the formula below to perform the…

Q: Q. 4 Solve by Iteration method (1) Sin x = (x+1)/(x-1)

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Q: Find the root of the equation x3-2x-5= 0 by muller's method take 1,2 and 3 as initial approximation…

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Q: 0.2. By using Newton's Raphson Methods apply two iterations to approximate the x-value of the…

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Q: 1. Find the maximum of the function: f (x) = 4sinx (1+ cosx ) a. Using Golden Section Search with…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 2. Solve the equation 3x² = ex, by applying 4 iterations of: a. Bisection Method (use the interval…

A: Here we have to solve the given equation 3x2 = ex by using bisection method, secant method,…

Q: 6) The point p = 3 is a zero of the function f(x) = x³ – 7x² + 15x – 9, Use Newton iteration to…

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Q: Q4) Use the Newton- Raphson method, with 1.5 as starting point, to find solution of f(x)= x-2sinx.

A: Given function f(x)=x-2sinx. The objective is to find the solution by using Newton-Raphson method…

Q: Q3) Use the Newton-Raphson Method to estimate the root of f(x) = x -2sin(x²), employing an initial…

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Q: 3. Use the Newton-Raphson method and the modified secant method (8= 0.05) to determine the root of…

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

Q: what is Γ(1/2) ? show solution. prove that it is equal to -1/2!

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Q: Consider *+ri +3r-sint = 0. r(0)=-1, (0)=1. Use the second order Runge-Kutta method with h = 0.2 to…

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Q: Q1) Use the Newton-Raphson Method to estimate the root of f(x) = x - 2sin (x), employing an initial…

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Q: 3. (a) By sketching the graphs of 1 y = ln x and x2 on the same coordinate system, determine the…

A: a graph of y=lnx and y=1x2 here, purple lines is of y=1x2 and pink line is of y=lnx Clearly both…