Write a well commented Matlab's program that uses $5$ iterations of Newton's method to solve the system of nonlinear equations given below. The initial guess is given by the vector $[2\mathrm{.}4,-0\mathrm{.}6].$ Run it and submit your codes and solution.

$[12]$

$ln(x^2+y)-1+y=0$

$\sqrt[\phantom{2}]{x}+xy=0$