A particular solution $of$

$y^{\text{'}\text{'}}-2y^{\text{'}}=6e^{2x}+4$

$is$:

$(a)z=2+4x{e}^{2x}$

$(b)z=2x+2x{e}^{2x}$

$(c)z=4+2e^{2x}$

$(d)z=3x{e}^{2x}-2x$

$(e)$ None $of$ the above.