Page 233 - Schaum's Outline of Differential Equations

216 THE LAPLACE TRANSFORM [CHAP. 21

(a) Using entry 14 of Appendix A with n = 2 and a = 4, we have directly that

(b) Set/(X) = x. Using Property 21.2 with a = 4 and entry 2 of Appendix A, we have

and

4
(c) Set /(x) = e *. Using Property 21.3 with n=\ and the results of Problem 21.6, or alternatively, entry 7 of
Appendix A with a = 4, we find that

and

2
21.15. Find ^{e- * sin 5*}.
This problem can be done two ways,
(a) Using entry 15 of Appendix A with b = —2 and a = 5, we have directly that

(b) Set/(X) = sin 5x. Using Property 21.2 with a = -2 and the results of Problem 21.7, or alternatively, entry 8 of
Appendix A with a = 5, we have

and

21.16. Find
This problem can be done two ways.

(a) Using entry 13 of Appendix A with we have directly that

(b) Set ( x ) = cos"v/7jc. Using Property 21.3 with n=l and entry 9 of Appendix A with a = -\f7, we have
f