just show me how to do the question

The functions yi (t) = t and 32 (t) = t 2 are solutions of the horno differential equation 12 y" + 2ty' - 2y=0. Find the expressions of the functions u', (t) and u. (t) so that the function Up = ul y1 + u2 92 is solution of the non-homogeneous equation thy" + 2ty' - 2y =6t. Ou, ( t) = 2t-1, u2 (t ) = -2+2 Ou, (t) = 5t-2, u, (t ) = -5t ONone of the answers displayed. Ou, (t) = 2+3, us (t) = -6+5 Our (t) = 12, uz (t ) = -3+5 Ou, (t) = 3, u, (t ) = -+2