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

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$v$

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

$y^{\text{'}\text{'}}10y^{\text{'}}25y=-2e^{-5t}$

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

$y^{\text{'}\text{'}}-4y=e^{-2t}$

$y^{\text{'}\text{'}}10y^{\text{'}}25y=t{e}^{-2t}$

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

a$.A{t}^{2}BtC$

b$.$ Acos$(3t)$ Bsin$(3t)$

c$.(AtB)e^{-2t}$

d$.At{e}^{-2t}$

e$.A{t}^2{e}^{-5t}$

f$.A{e}^{-5t}$