An LTI system has an impulse response $h(t)=e^{-5t}u(t).$ The input $x(t)$ to this system is $e^{-at}u(t).$ The output of this system is $y(t).$ Take a $=$ last digit of your ID number if it is even, else last digit of ID number $+1$ if it is odd $($e$.$g$.$ if the last digit of your ID number is $7,$ then a is $8,$ and if the last digit of your ID number is $6$ then a is $6)$

a$)$ Write a MATLAB code to find $y(t).$

b$)$ Subplot $x(t),h(t),$ and $y(t)$ with same $x-$axis.

c$)$ Display the value of $y(0).$