CREATE MATLAB SCRIPT PLS ASAP WILL RATE A system's step response is PICTURE LOOK CAREFULLY STEPS ARE BELOW FOR MAT LAB Part $1$: Step response and transfer function

$1$a$)$ Use the symbolic math toolbox to express the step response and assign to variable y$.$

$1$b$)$ Plot the step response. The plot command cannot be used since y is a symbolic variable, but fplot can plot a function or expression.

$1$c$)$ Use the symbolic laplace function to find the Laplace transform of y$($t$)$ and assign the result to variable Y$.$

$1$d$)$ Use the symbolic simplifyFraction function to merge the partial fractions into a single saved in variable Ys$.$

$1$e$)$ Find the system transfer function $.$ Assign the result to variable H$.$

Part $2$: Finding the system's response to a cosine input, using the transfer function

$2$a$)$ Find the system's response to the input $.$ The Laplace transform of should be saved in variable X$2.$

The Laplace transformed output is Y$2.$

because $.$

$2$b$)$ Find the output in time domain using the ilaplace function, saved as y$2.$

$2$c$)$ Plot the output y$2$ using fplot

$2$d$)$ What is the maximum value of y$2?$ Save the value to the variable y$2$Max.

Note: the max$()$ function cannot be used on y$2$ directly, without converting the symbolic y$2$ to remove the variable t$.$ But double$($max$($subs$($y$2,$ t$,$ T$)))$

does the conversion. subs$()$ substitutes the numbers in vector T for the symbolic t and evaluates y$2$ to a vector of symbolic expressions. Then max$()$ finds the symbolic max value, and double$()$ evaluates the expression to a number. T can be $0$ to $10$ seconds with a time step of $0\mathrm{.}05$ seconds.

$2$e$)$ What is the period of y$2?$ The period can be found either by calculation or by inspecting the plot. Call the value y$2$Period. HINTS ARE IN GREEN PLS HELP