Consider the ODE

$6y^{\text{'}}=24t^{5}y$

$($A$)$ Write the ODE in the following form.

$$

$dy=24t^{5}dt$

$($B$)$ Integrate both sides of the equation in $($A$).($Do NOT include arbitrary constants in your answer.$)$

$$

$=4t^6+C$

$($C$)$ Solve the ODE. Use $c$ for an arbitrary constant.

$y=$

$$