Write a MATLAB code to solve for the model problem

$y^{\text{'}}=-y,y(0)=1$

using implicit Euler and Trapezoidal Rule schemes.

a$)$ Try $10$ iterations, with time step $t=2.$ What goes wrong with this $t?$ Include a figure and discuss in a

few sentences. $($Hint: compare growth factor $$ for IE and TR$.)$

b$)$ What do the results for $t=2\mathrm{.}1$ illustrate? Include a figure and discuss in a few sentences.$($Hint: compare

growth factor $$ for IE and TR$.)$