Homework: Linear Homogeneous Equations

$(1)$ Suppose that the function $y_1(t)$ is a solution of

$y^{\text{'}\text{'}}{a}_1{y}^{\text{'}}{a}_{0}y=cos(2t)$

$(2)$ Also suppose that the function $y_2(t)$ is a solution of

$y^{\text{'}\text{'}}{a}_1{y}^{\text{'}}{a}_{0}y=0$

Use the Superposition Theorem $2\mathrm{.}1\mathrm{.}6$ to decide which of the following statements are true.

A$.3y_2$ solves $(2)$

B$.4y_1$ solves $(1)$

C$.y_1{y}_2$ solves $(1)$

D$.-y_1{y}_2$ solves $(1)$

E$.y_1{y}_2$ solves $(2)$

F$.y_{1}3y_2$ solves $(1)$

G$.$ None of the Above

Note: Select all that applies.