(→Example) |
(→Example) |
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| Line 10: | Line 10: | ||
y' is a constant | y' is a constant | ||
Thus y=2t+1 is a linear system. | Thus y=2t+1 is a linear system. | ||
| + | |||
| + | |||
| + | For function y=sin(t), y'=cos(t) | ||
| + | y' is not a constant | ||
| + | Thus y=sin(t) is a non-linear system. | ||
| + | |||
| + | </pre> | ||
Revision as of 18:03, 3 September 2008
Linear System
For a function y=f(x), if its derivitive is a constant, then we say it is a linear system.
Example
For function y=2t+1, its derivitive y'=2 y' is a constant Thus y=2t+1 is a linear system. For function y=sin(t), y'=cos(t) y' is not a constant Thus y=sin(t) is a non-linear system.
