(Solved): Let \( t^{2} y^{\prime \prime}-13 t y^{\prime}+48 y=0 \) Find all values of \( r \) such that \( y ...

Let \( t^{2} y^{\prime \prime}-13 t y^{\prime}+48 y=0 \) Find all values of \( r \) such that \( y=t^{r} \) satisfies the differential equation for \( t>0 \). If there is more than one correct answer, enter your answers as a comma separated list. \( r=\quad \) help (numbers)