Chapter 2.1, Problem 1E

In Problems 1–4 reproduce the given computer-generated direction field. Then sketch, by hand, an approximate solution curve that passes through each of the indicated points. Use different colored pencils for each solution curve.

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

1. (a) y(−2) = 1
2. (b) y(3) = 0
3. (c) y(0) = 2
4. (d) y(0) = 0

FIGURE 2.1.12 Direction field for Problem 1