Match each differential equation with it's particular solution form.

$-$abcdef$$y$\text{'}\text{'}5$y$\text{'}+4$y$=3$t$2+5$t$2$

$-$abcdef$$y$\text{'}\text{'}5$y$\text{'}+4$y$=$e$4$t

$-$abcdef$$y$\text{'}\text{'}5$y$\text{'}+4$y$=4$t$+3$et

$-$abcdef$$y$\text{'}\text{'}5$y$\text{'}+4$y$=$e$5$t

$-$abcdef$$y$\text{'}\text{'}10$y$\text{'}+25$y$=4$cos$(3$t$)$

$-$abcdef$$y$\text{'}\text{'}10$y$\text{'}+25$y$=4$t$+5$

$($At$+$B$)+$Cet

At$+$B

Acos$(3$t$)+$Bsin$(3$t$)$

At$2+$Bt$+$C

Ate$4$t

Ae$5$t