Use Euler's Method for Integration to solve dy/dx = x^2 for y by creating a script file in Matlab. First, plan your code by writing it by hand. Then, implement in Matlab. Begin by developing a for loop to calculate y (much as we've done before). The range of x values is x = 0 to 3, and the initial Delta x stepsize to be used is 0.5. Be sure to use variables for Delta x, x initial, and x final. Next implement a while loop to rerun your calculations (this means the for loop is inside the while loop) for smaller and smaller Delta x values (reduce the Delta x value in half for every iteration). The while loop should run until the percent error (in decimal form) between your numerical solution (at x = 3) and the exact analytical solution (at x = 3) is less than 0.01 (1%). Plot every iteration of your y estimate (using dashed lines) and the exact y solution (using a continuous line) on the same plot. Report the percent error values in the command window