S7-37 Find the o(t) that satisfies the following differential equa- tion and initial conditions: d²v(t) dv(t) +6 d1² dt +48u(t)=0, v(0)=0V, dv(0) dt = 48 V/s

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OBJECTIVE 7-3 SECOND-ORDER CIRCUIT ANALYSIS
(SECTS. 7-5, 7-6, 7-7)
Given a second-order circuit:
(a) Find the circuit differential equation.
(b) Find the circuit natural frequencies and the initial condi-
tions (if not given).
(c) Find the zero-input response.
(d) Find the complete response for a step function input.
See Examples 7-17, 7-18, 7-20 to 7-23, 7-24, and 7-26 and
Exercises 7-25, 7-27, 7-29 to 7-31 and 7-33.
S7-37 Find the v(t) that satisfies the following differential equa-
tion and initial conditions:
dv(t) du(t)
di²
dt
+6- +48u(t)=0, v(0)=0 V,
dv(0)
dt
= 48 V/s
Transcribed Image Text:OBJECTIVE 7-3 SECOND-ORDER CIRCUIT ANALYSIS (SECTS. 7-5, 7-6, 7-7) Given a second-order circuit: (a) Find the circuit differential equation. (b) Find the circuit natural frequencies and the initial condi- tions (if not given). (c) Find the zero-input response. (d) Find the complete response for a step function input. See Examples 7-17, 7-18, 7-20 to 7-23, 7-24, and 7-26 and Exercises 7-25, 7-27, 7-29 to 7-31 and 7-33. S7-37 Find the v(t) that satisfies the following differential equa- tion and initial conditions: dv(t) du(t) di² dt +6- +48u(t)=0, v(0)=0 V, dv(0) dt = 48 V/s
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