For f(x) = x³ – 2 and ao = Apply the bisection method and calculate b2 (right endpoint after 2 iterations) : 0, bo = 100. b2 = Submit the Answer 2 4 2 0.5 1.0 1.5 2.0
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- Use Euler method to approximate the value of y(0.1), given y' - 4y = 3x2 , y(0) = 4 with Δx = 0.0125The equation f (x) = 2 − x2 sin x = 0 has a solution in the interval [-1,2]. Compute p3 for the Bisection method.Use Euler method to approximate the value of y(0.1), given ay' - by = ce^(kx) + mx , y(0) = 3 with Δx = 0.02 if a = 2, b = 3, c = 4, k = 2, and m = 5 Round off the final answer to five decimal places but do not round off on previous calculations.
- solve by hand( numerically) f(x)= cos(x)-x exp (x) using the bisection method and Newton- Raphson method on a close interval [0,1]For the function f(x, y) = -xy2, find the solution from x = 0 to x = 1 with an increment of 0.2 by the fourth-order Runge-Kutta method. The initial condition at x = 0 is y = 1.Approximate the root of the equation √x + x² = 7 using the initial value xo = 2-3 and using the 4th iteration of the numerical method: bisection method
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