Which of the Following Are Solutions to the Homogeneous Second-Order $y=t^{12}+t$

Multiple Choice

Which of the following are solutions to the homogeneous second-order Cauchy Euler differential equation . Select all that apply.

A) $y=t^{12}+t$
B) $y=\mathrm{Cr}^{-12}$ , where $\mathrm{C}$ is any real constant
C) $y=16 t$
D) $y=C\left(\frac{1}{t^{12}}+t\right)$ , where $C$ is any real constant
E) $y=-9 r^{12}+C$ , where $C$ is any real constant
F) $y=C_{1} t^{12}+C_{2} t+C$ , where $C_{3} C_{1}$ , and $C_{2}$ are arbitrary real constants