Current Attempt in Progress

What is the general solution of the fifth$-$order homogenous differential equation $y^{(5)}-14y^{(4)}49y^{(3)}=0?$

$y=C_1{C}_{2}t{C}_3{t}^2{C}_4{e}^{7_t}{C}_{5}t{e}^{7_t}$

$y=C_1{C}_{2}t{C}_3{t}^2{C}_4{e}^{-7t}{C}_{5}t{e}^{-7t}$

$y=C_1{C}_{2}t{C}_3{e}^{7t}{C}_{4}t{e}^{7t}{C}_5{t}^2{e}^{7t}$

$y=C_1{C}_{2}t{C}_3{e}^{-7t}{C}_{4}t{e}^{-7t}{C}_5{t}^2{e}^{-7t}$