If $y_p=u_1(t)+t{u}_2(t)+e^{2t}{u}_3(t)$ is a particular solution of the differential equation $y^{\text{'}\text{'}\text{'}}-2y^{\text{'}\text{'}}=\frac{4}{t},$ then

$u_2(t)=$

Select one:

$2ln|t|$

$2t-ln|t|$

$-2ln|t|$

$2t+ln|t|$

none of the given answers is true