Advanced Engineering Mathematics, 6th Edition

Answers to Selected Odd-Numbered Problems

ANSWERS TO SELECTED ODD-NUMBERED PROBLEMS, CHAPTER 1

Exercises 1.1, Page 11

1. 1. linear, second order

2. 3. linear, fourth order

3. 5. nonlinear, second order

4. 7. linear, third order

5. 9. linear in x but nonlinear in y

6. 15. domain of function is [– 2, ∞); largest interval of definition for solution is (–2, ∞).

7. 17. domain of function is the set of real numbers except x = 2 and x = –2; largest intervals of definition for solution are (–∞, – 2) (–2, 2) or (2, ∞).

8. 19. defined on (–∞, ln 2) or on (ln 2, ∞)

9. 31. m = –2

10. 33. m = 2, m = 3

11. 35. m = 0, m = –1

12. 37. y = 2

13. 39. no constant solutions

Exercises 1.2, Page 17