$-$ Analytical Integration: Given an acceleration equation, use $\backslash ($ a$=\backslash$frac$\{$d v$\}\{$d t$\}=$v $\backslash$frac$\{$d v$\}\{$d x$\}\backslash )$ to determine velocity and position.

$-$ Numerical Integration: Write the basic code to integrate a given non$-$linear differential equation using MATLAB's ode$45$ and plot results.

$-$ Rigid$-$Body Dynamics: Write the n$-$equations, n$-$unknowns system of equations to solve a rigid$-$body dynamics problem, i$.$e$.,$ complete steps $1-6$ of the $9-$Step Process.

$-$ Linearization and Vibration: Write and solve the n $-$equation, n $-$unknowns system of equations for a nonlinear ODE. Linearize this ODE using the techniques discussed in class to determine the natural frequency of the system. Complete steps $1-9$ of the $9-$Step Process. Problem Questions

These four questions are set up as $"$no response" questions, so no answers are required. This is merely where you will get your questions. You will submit all answers in the mandatory file upload question $($see below$).$