Determine the form $of$ a particular solution for the differential equation. $Do$ not solve.

$y^{\text{'}\text{'}}-6y^{\text{'}}+10y=e^{3t}+tsin4t-cos4t$

The form $of$ a particular solution $is{y}_p(t)=$

$(Do$ not use $d,D,e,E,i,or$ I $as$ arbitrary constants since these letters already have defined meanings.$)$