a$)(3$ pts$)$ Using Laplace transform solve for $x(t)$ for the ODE below. Please show all the steps in

your solution.

$x^{}+2x+5^{}x=0,$ where $,x(0)=1,$ and $,x^{}=0$

b$)(1$ pt$)$ Using the Initial Value Theorem $($IVT$)$ and Final Value Theorem $($FVT$),$ find the initial value

and final value $(x_{ss})$ of $x(t).$

c$)(1$ pt$)$ Using Matlab plot $x(t).$ What is the IV and FV $(x_{ss}$ steady$-$state$)$ from the plot?