Consider the differential equation $\frac{dy}{dx}=\frac{x^{11}}{y^4}$

$($A$)$ Re$-$write the equation in terms of differentials:

$dy=dx$

LHS: RHS:

$($B$)$ Now integrate each side of the equation:

$$

$+C_1=,+C_2$

LHS: RHS:

$($C$)$ Solve the equation for $y,$ given that that $y(0)=3.$

$y=$