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1. |
Let the input be u and the output is y of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system: |
A. | \(\frac{d^3y}{dt^3}+a_1\frac{d^2y}{dt^2}+a_2\frac{dy}{dt}+a_3y = b_3u + b_2\frac{du}{dt}+ b_1\frac{d^2u}{dt^2} \) (with initial rest conditions) |
B. | \(y\left( t \right) = \mathop \smallint \limits_0^t {e^{\alpha \left( {t - \tau } \right)}}\beta u\left( \tau \right)d\tau \) |
C. | y = au + b, b ≠ 0 |
D. | y = au |
Answer» D. y = au | |