Determine the solution of the simultaneous system of nonlinear equation with initial guesses of x=y=1.5 for X^2+y^2=5 X^2+y=-1 A.) Jacobi Iterations
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Determine the solution of the simultaneous system of nonlinear equation with initial guesses of x=y=1.5 for
X^2+y^2=5
X^2+y=-1
A.) Jacobi Iterations
B.)Gauss-Seidel Iterations
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- A radioactive substance has an initial mass of x grams, after decaying for y hours, the substance all that remains is z grams, where x, y, and z are solutions to a system of equations known linear which is shown in the figure: 1. Determine the solution of a linear equation using the Gauss-Jordan . method 2. Calculate the half-life of the radioactive substance 3. And draw a graph (time and mass)Solve using Jacobi method, consider 10 iterations for each system of linear eaquations. Please sho solution.Solve using Jacobi method, consider 10 iterations for each system of linear eaquations. Please show solution.
- The metal plate has the constant temperature shown on its boundaries. Find the equilibrium temperature at each of the indicated interior points by setting up a system of linear equations and obtain a solution by applying either the Gauss elimination or the Gauss Jordan elimination method.Obtain the solution to the system (in the image) using: Jacobi Iterative Method Gauss-Seidel Method Do only four iteration in each method and find the relative error on the 4th IterationConsider a system of linear equations Ax = b with 4 unknowns (A and b canbe chosen by yourself). Solve the system of linear equations by using (a) LU decomposition method, (b) Cholesky decomposition method, and (c) QR decomposition method.Hence, perform a comparative analysis of the numerical solution obtained by three different methods.
- Obtain the solution set of the linear equation system given below by using the Jacobi method.Take the initial values 0.NOTE: Proceed only 7 iterations.Find the roots of the system of linear equations using Jacobi Method, accurate to four (4) decimal digits. you can use excel in iterationHow can we find a particular solution xp of the nonhomogeneous linear system by applying Variation of Parameters method? Explain its steps?