Please use Matlab to solve and explain your process every line and matrix.

This project is about solving the fixed$-$free masses and springs problem. What we did

in class was fixed$-$fixed: springs are attached to a fixed point at both the bottom and the

top. For the fixed$-$free problem there is no bottom spring: the masses hang freely, meaning

the bottom mass doesn't have a spring below it$.$ In the fixed$-$free problem if there are three

masses there are three $($not four$)$ springs.

Write a MATLAB function that takes the spring constants and masses as inputs and

returns the corresponding vector of displacements for the fixed$-$free masses and springs

problem with three masses $($and three springs$).$

Write a MATLAB script that calls the function and returns the results for two different

cases:

$($a$)\{c_1,c_2,c_3\}=\{10,5,1\},\{m_1,m_2,m_3\}=\{4,5,6\}($case $1)$

$($b$)\{c_1,c_2,c_3\}=\{1,5,10\},\{m_1,m_2,m_3\}=\{6,5,4\}($case $2)$

Use a value of $10$ for gravitational acceleration.