Use Matlab to solve the system x2+xy3=9 ,
3x2y-y3 =4 using Newton's method for
nonlinear system. use each of initial guesses
(x0,y0)=(1.2,2.5), (-2,2.5), (-1.2,-2.5),
(2,-2.5) observe which root to which the method converges, the
number of iterates required and the speed of convergence.
Write the system in the form f(u) = 0, and report for each case
the number of iterations needed for ||f(u)||2≤
10-12−.