$\begin{array}{cc}H& 1\end{array}$

$\frac{dy}{(d)x}=(y+3)(y-7)$

$H{A}_{\text{p}\text{i}\text{s}}^{10}$ List any constant solutions.

Find the solution. Fact: $\frac{1}{(y+3)(y-7)}=\frac{1}{10(y-7)}-\frac{1}{10(y+3)}.Be$ sure $to$ solve for $y(x).$

Sloetch a direction field. Show the constant solutions $as$ well $as$ sample solution curves $at$

the points $(0,-4),(0,0),(0,10).$ Just the general idea $-$ say one row $of$ arrows $in$ each

region indicating positive $or$ negative slopes... the actual slope $is$ not important.