in Differential Equations retagged by
59 views
0 votes
0 votes

Let the input be $u$ and the output be $y$ of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:

  1. $\dfrac{\mathrm{d^{3}y} }{\mathrm{d^{3}} t}+a_{1}\dfrac{\mathrm{d^{2}y} }{\mathrm{d} t^{2}}+a_{2}\dfrac{\mathrm{d} y}{\mathrm{d} t}+a_{3}y=b_{3}u+b_{2}\dfrac{\mathrm{d} u}{\mathrm{d} t}+b_{1}\dfrac{\mathrm{d^{2}}u }{\mathrm{d} t^{2}}$ (with initial rest conditions)
  2. $y\left ( t \right )=\int ^{t}_{0}e^{\alpha (t-\tau )}\beta u\left ( \tau \right )d\tau$
  3. $y=au+b,b\neq 0$
  4. $y=au$
in Differential Equations retagged by
by
1.5k points
59 views

Please log in or register to answer this question.

Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.