Chapter 1.2, Problem 38E

In Problems 35–38 the graph of a member of a family of solutions of a second-order differential equation d²y/dx² = f(x, y, y′) is given. Match the solution curve with at least one pair of the following initial conditions.

1. (a) y(1) = 1, y′(1) = −2
2. (b) y(−1) = 0, y′(−1) = −4
3. (c) y(1) = 1, y′(1) = 2
4. (d) y(0) = −1, y′(0) = 2
5. (e) y(0) = −1, y′(0) = 0
6. (f) y(0) = −4, y′(0) = −2

38. FIGURE 1.2.10 Graph for Problem 38