Write a computer program that uses the Thomas algorithm to solve the above set of tridiagonal system for

$$

$=$

$10$

$,$

$15$

q$=10,15$ and

$25$

$25$ lb$/$in$.$ Approximate the deflection

$$

$($

$$

$)$

y$($x$)$ every $1\mathrm{.}2$ in$,$ i$.$e$.$ use

$\backslash$Delta

$=$

$1\mathrm{.}2$

$\backslash$Delta $=1\mathrm{.}2$ in$.$ How can you be sure that your results are accurate? Do you need to use smaller values of

$\backslash$Delta

$\backslash$Delta $?$ Justify your solution.