Q$1$: Given a differential equation $\frac{dy}{dt}=3\frac{Q}{A}si{n}^{2}t-\frac{Q}{A},$ where Q and A are constant.

$Q=500m^3/$day and $A=1200m^2/$day$.$ When $t=0,y=0.$ Find analytical solution of y as a function of $t.$ Hint:

$si{n}^{2}t=\frac{1-cos2t}{2}$