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Differential Equation Descriptions and System Characteristics

February 2, 2019 by 3200 Creative

Differential Equation Descriptions and System Characteristics

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Question 1 of 4

1. Question
If the input to a system described by a differential equation is $x(t)=1$ and the system transfer function is $H(s)$ , then the steady-state response is
- $H(-2)e^{-2t}$
- $H(1)e^{t}$
- $H(1)$
- $H(0)$
- can’t be determined from the information
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Question 2 of 4

2. Question
If the input to a system described by a differential equation is a sinusoid of frequency $10$ Hz, then the steady-state response is
- a constant
- a sinusoid of frequency $10N$ Hz where $N$ is the order
- unknown
- a sinusoid of frequency $10$ Hz
- $ce^{-10t}$ where $c$ is a constant
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Question 3 of 4

3. Question
A system described by a differential equation has characteristic equation roots $-2+j$ and $-2-j$ . What best describes the transient response?
- complex sinusoid
- exponentially damped sinusoid
- real exponential
- the system is unstable
- cannot be determined
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Question 4 of 4

4. Question
The following are roots of the characteristic equation for different systems described by differential equations. Which system is likely to have the fastest transient response time?
- $-2+j, -2-j$
- $-10+j, -10-j$
- $-100j, 100j$
- $-0.1+j, -0.1-j$
- $-1+10j, -1-10j$
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Impulse Response and LTI Systems – Part II
Graphical Evaluation of Discrete-Time Convolution
Graphical Evaluation of Continuous-Time Convolution
Difference Equations: Solving System Responses with Stored Energy
Characteristics of Systems Described by Difference Equations
Differential Equations: Solving System Responses with Stored Energy
Characteristics of Systems Described by Differential Equations
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