he voltage v(t) in a network is defined by the equation below, given a = 2, b = 1, and = 3. [d²v (0) + b[d₂(0] d²v₁(t) dt² dt + Cy₁ (t) = 0 implify the given equation to the characteristic equation. What is the "q" in the maracteristic equation of the network in the form s² + qs + r ?

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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The voltage \( v(t) \) in a network is defined by the equation below, given \( a = 2, b = 1, \) and \( c = 3 \).

\[ 
a \frac{d^2 v_1(t)}{dt^2} + b \left[ \frac{dv_1(t)}{dt} \right] + c \, v_1(t) = 0 
\]

Simplify the given equation to the **characteristic equation**. What is the "q" in the **characteristic equation** of the network in the form \( s^2 + qs + r \)?
Transcribed Image Text:The voltage \( v(t) \) in a network is defined by the equation below, given \( a = 2, b = 1, \) and \( c = 3 \). \[ a \frac{d^2 v_1(t)}{dt^2} + b \left[ \frac{dv_1(t)}{dt} \right] + c \, v_1(t) = 0 \] Simplify the given equation to the **characteristic equation**. What is the "q" in the **characteristic equation** of the network in the form \( s^2 + qs + r \)?
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