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

Differential equation:

y$^(\text{'}\text{'})-6$y$^(\text{'})+9$y$=$e$^(3$t$)$

y$^(\text{'}\text{'})+2$y$^(\text{'})-8$y$=$e$^(3$t$)$

y$^(\text{'}\text{'})+2$y$^(\text{'})-8$y$=$e$^(-4$t$)$

y$^(\text{'}\text{'})+2$y$^(\text{'})-8$y$=(4$t$+5)$e$^(-4$t$)$

y$^(\text{'}\text{'})-6$y$^(\text{'})+9$y$=$e$^(-4$t$)$

y$^(\text{'}\text{'})+2$y$^(\text{'})-8$y$=(4$t$+5)$e$^(3$t$)$

Particular solution form:

a$.$ Ate$^(-4$t$)$

b$.$ Ae$^(-4$t$)$

c$.($At$+$B$)$e$^(3$t$)$

d$.$ Ae$^(3$t$)$

e$.$ At$^(2)$e$^(3$t$)$

f$.,($At$+$B$)$te$^(-4$t$)$