Please give me the correct matlab code for this problem using the given matlab format. You are given the following differential equation:

$\frac{dy(t)}{dt}+10y(t)=2cos(217t+\frac{}{3})u(t)$

You are told that $y(0)=1$

a$)$ Find the transient $($complimentary solution$)y_c(t)$

b$)$ Find the particular $($steady$-$state solution$),y_p(t)$

c$)$ Find the total solution, $y(t)$

d$)$ Plot $y_c(t),y_p(t),$ and $y(t)$ on the same graph. To see how to do this, look at the

command on page $133$ of the text book.

In your online submission, you will need to know the following:

You need to create $y_c,y_p,$ and $y$ as row vectors using the time vector $t=$

$0$:$\frac{T}{1000}$:$10.$ In this expression, $T$ is the period of the particular solution and $$

is the time constant.

Recall that the transient solution has the form $y_c(t)=C{e}^{\frac{-t}{}}$

Use the method shown in class with complex exponentials to obtain the particular solution.

tau $=[]$;

B $=[]$;

phi $=[]$;

T $=[]$;

t $=[]$;

y$\_$p $=[]$;

C $=[]$;

y$\_$c $=[]$;

y $=[]$;