points$)$ In order to find the general solution to the following differential equation,

$y^{\text{'}\text{'}}(t)-4y^{\text{'}}(t)+4y(t)=e^{2t}$

we have the following two steps. Please complete the two steps and show all your work.

$(1).$ Use the method of undetermined coefficients to find a particular solution to the differential equation.

$(2).$ Fine the general solution to the ODE. Please show all your work