Problem 2. Write down the general algorithm of the fixed-point iteration method and use that to show the steps to solve the following system of nonlinear equations. y = x² +1 y = 2 cos.x

Problem 2 Show whether the two equations y₁ = 12e and y2 = 1.2e are independent or dependent using the Wronskian.

3. Use the method of undetermined coefficients in section 3.5 to find the general solution of the ODE: y" - 2y + y = et + 1.

Given the equations : 39x - 3y + 9z = -4111.89; -4x - 11y + 28z = -1580; -3x + 40y - 35z = 2548.37; solve using Gauss Jacobi with initial values of (0,0,0). 1st iteration X = 2nd iteration X = 3rd iteration X = 4th iteration X = 5th iteration x = y y = y = y = y = z = z = COO z = Z=