May 2020
Intermediate to advanced
656 pages
16h 6m
English
book
Applied Numerical Methods Using MATLAB, 2nd Edition
by Won Y. Yang, Wenwu Cao, Jaekwon Kim, Kyung W. Park, Ho-Hyun Park, Jingon Joung, Jong-Suk Ro, Han L. Lee, Cheol-Ho Hong, Taeho Im
Content preview from Applied Numerical Methods Using MATLAB, 2nd Edition
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Appendix DLaplace Transform
Table D.1 Laplace transforms of basic functions.
| x(t) | X(s) | x(t) | X(s) | x(t) | X(s) |
| (1) δ(t) | 1 | (5) e−atus(t) |  |
(9) e−at sin ωt us(t) |  |
| (2) δ(t − t1) |  |
(6) tm e−at us(t) |  |
(10) e−at cos ωt us(t) |  |
| (3) us(t) |  |
(7) sinωt us(t) |  |
||
| (4) tm us(t) |  |
(8) cosωt us(t) |  |
Table D.2 Properties of Laplace transform.
| (0) Definition |  |
| (1) Linearity | α x(t) + β x(t) → α X(s) + β Y(s) |
| (2) Time shifting | |
| (3) Frequency shifting | |
| (4) Real convolution ... |
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