Please solve on Matlab. Problem $2(30$ points$)$: For the spring assemblage shown below, determine the displacements at nodes

$2$ and $3$ and the reaction forces at nodes $1$ and $4.$ Assume the rigid vertical bars at nodes $2$ and $3$

connecting the springs remain horizontal at all times but free to slide or displace left or right. Apply a

concentrated force of $1000$ N at node $3$ in the positive $x$ direction.

Let $k^{(1)}=250\frac{N}{m}m,k^{(2)}=400\frac{N}{m}m,k^{(3)}=350\frac{N}{m}m,k^{(4)}=200\frac{N}{m}m,$ and $k^{(5)}=300\frac{N}{m}m$