Deliverable: Implement the Runge$-$Kutta$2$ algorithm with the Heun, Ralston

and Midpoint methods in MatLab with a Live Editor script.

Try the following partial equations:

$\frac{dy}{dx}=x\sqrt[\phantom{2}]{y},y(1)=4$;$h=0\mathrm{.}2$

$\frac{dy}{dx}=2x^2+3y^2-2,y(2)=1$;$h=0\mathrm{.}05$

$y^{\text{'}}+3y=x^2-3xy+y^2,y(0)=2$;$h=0\mathrm{.}05$

Present the graph of the solution equation and a table with the values of the

iterations..