Chapter 4.4, Problem 45E

In Problems 45–48 without solving, match a solution curve of y″ + y = f(x) shown in the figure with one of the following functions:

1. (i) f(x) = 1,
2. (ii) f(x) = e^−x,
3. (iii) f(x) = e^x,
4. (iv) f(x) = sin 2x,
5. (v) f(x) = e^x sin x,
6. (vi) f (x) = sin x.

Briefly discuss your reasoning.

45.

FIGURE 4.4.1 Graph for Problem 45