Modify the M$-$file euler.m to implement the algorithm for Improved Euler. Call the new file

impeuler.m $($include the file in your report$).$

Test your code for the IVP $y^{\text{'}}=y,y(0)=-2,$ in the interval $0,0\mathrm{.}6,$ using $N=6$ steps.

First enter the function $f(t,y)=y$ as anonymous function and then enter the following:

Compare your output with the one above. You should obtain the same values.