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2) The response to <math>ax_1(t)</math> is <math>ay_1(t)</math>, where a is any complex constant. | 2) The response to <math>ax_1(t)</math> is <math>ay_1(t)</math>, where a is any complex constant. | ||
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| + | Example for a linear system is | ||
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| + | <math>x_1</math> = 8<math>e^t</math> | ||
Revision as of 15:18, 12 September 2008
A system is said to be linear if it follows the following conditions
1) The response to $ x_1(t) $ + $ x_2(t) $ is $ y_1(t) $ +$ y_2(t) $.
2) The response to $ ax_1(t) $ is $ ay_1(t) $, where a is any complex constant.
Example for a linear system is
$ x_1 $ = 8$ e^t $
