$(10$ points$)$ Consider the initial value problem

$\frac{dy}{dx}=x-3y^2,y(1)=0$

$($a$)$ Using Euler's method with two steps, estimate $y(3)$ by filling in the table below $($although you should redraw the table on your own paper and make it larger to show all your work for the values in your table$).$ After filling in the table, make sure you state your estimate of $y(3).$

$\backslash$table$[[n,x_n,y_n,m=\frac{dy}{dx}$