Given that $8$e$3$x$8$e$3$x and $2$e$4$x$2$e$4$x are solutions of a second order linear homogeneous differential equation with constant coefficients, find this differential equation.

y$+7$y$+12$y$=0$y$+7$y$+12$y$=0$

y$6$y$16$y$=0$y$6$y$16$y$=0$

y$7$y$+12$y$=0$y$7$y$+12$y$=0$

y$+6$y$16$y$=0$y$+6$y$16$y$=0$

y$+6$y$+16$y$=0$y$+6$y$+16$y$=0$

None of the above.