$(1$ point$)$ A$.$ Find $y$ in terms of $x$ if

$\frac{dy}{dx}=x^2{y}^{-5}$

and $y(0)=4.$

$y(x)=$

$$

B$.$ For what $x-$interval is the solution defined?

$($Your answers should be numbers or plus or minus infinity. For plus infinity enter "PINF"; for minus infinity enter "MINF".$)$

The solution is defined on the interval:

$$

$(1$ point$)$ Solve the initial value problem

$11(t+1)\frac{dy}{dt}-7y=28t$

for $t>-1$ with $y(0)=8.$

Find the integrating factor, $u(t)=$ and then find $y(t)=$