From the options below, select all possible solutions $to\frac{dy}{dt}+t=2y.$

NOTE: don't try $to$ solve the ODE. $We$ don't know how, yet. Instead,

check each $of$ the "candidate" solutions below and see which one$(s)$

make the ODE true.

$y(t)=e^{3t}+\frac{1}{2}t+\frac{1}{4}$

$y(t)=4e^{2t}$

$y(t)=0\mathrm{.}25+0\mathrm{.}5t+1\mathrm{.}5e^{2t}$

$y(t)=0$

$y(t)=e^{2t}+\frac{1}{2}t+\frac{1}{4}$