Chapter 9.3, Problem 6P

To determine

(a)

Find the slope at the below points, where $\frac{dy}{dx}=x^2-y^2$

$\left(1,0\right),\left(0,1\right),\left(1,1\right),\left(2,1\right),\left(1,2\right),\left(2,2\right)$

To determine

(b)

To sketch the slope fields at points $\left(1,0\right),\left(0,1\right),\left(1,1\right),\left(2,1\right),\left(1,2\right),\left(2,2\right)$