$(1$ point$)$ Consider the following initial value problem, defined for t$>=0$ :

$($dx$)/($dt$)=$t$*$t$^(2),$x$(0)=9$

Find the Laplace transform of the solution.

x$($s$)=$L$\{$x$($t$)\}$

help $($formulas$)$

Obtain the solution x$($t$).$

x$($t$)=$

$($formulas$)$