heeeeeeeeelpfor linearity system, solve the table‏ Khadija Omra LinearNonlineary[n] = 3x[n] y[n] = ax[n] + by[n] = nx[n] y[n] = log(x[n])

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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heeeeeeeeelp

for linearity system, solve the table‏

Khadija Omra

Linear
Nonlinear
y[n] = 3x[n] y[n] = ax[n] + b
y[n] = nx[n] y[n] = log(x[n])

Expert Solution

Step 1

What is Principle of Superposition:

According to the superposition principle, sometimes known as the superposition property, the net response brought on by two or more stimuli is equal to the sum of the responses brought on by each stimulus separately for all linear systems. As a result, input (A + B) creates response (X + Y) if input A provides response X and input B produces response Y.

Given:

Given systems are

$\begin{array}{rcl} y [n] & = & 3 x [n] \\ y [n] & = & a x [n] + b \\ y [n] & = & n x [n] \\ y [n] & = & \log (x [n]) \end{array}$

To Detremine:

We determine which systems are linear and which are not.

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