Solve the following initial value problem by using the method of undetermined coefficients

$y^{\text{'}\text{'}}-4y^{\text{'}}-12y=3e^{5t}$

$y(0)=\frac{18}{7}$

$y^{\text{'}}(0)=-\frac{1}{7}$

A$.y(t)=2e^{-2t}+e^{6t}-\frac{3}{7}{e}^{5t}$

B$.y(t)=e^{-t}+e^{3t}$

C$.y(t)=sin{e}^{-t}+si{n}^{2t}$

D$.y(t)=e^{-t}+5e^{3t}$

E$.y(t)=2e^{-t}+8e^{2t}$