Question $1$

$1$ pts

Consider the initial value problem

$y^{\text{'}}=\frac{1}{t(t-2)}y+t,y(1)=3$

Which statement is true about its solution?

The solution is defined only on $(0,1)$

The solution is defined for all $t>2$

The solution is defined at least on the interval $(0,1),$ but may have a larger domain

The solution must have an asymptote at $t=0$ and $t=2$ because the coefficients do