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[M] Find formulas for the voltages v1 and v2 (as functions of time t) for the circuit in Example 1, assuming that R1 = 1/5 ohm. R2 = 1/3 ohm, C1 = 4 farads, C2 = 3 farads, and the initial charge on each capacitor is 4 volts.
EXAMPLE 1 The circuit in Figure 1 can be described by the
where x1(t) and x2(t) are the voltages across the two capacitors at time t. Suppose resistor R1. is 1 ohm, R2 is 2 ohms, capacitor C1 is 1 farad, and C2 is .5 farad, and suppose there is an initial charge of 5 volts on capacitor C1 and 4 volts on capacitor C2. Find formulas for x1(t) and x2(t) that describe how the voltages change overtime.
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Chapter 5 Solutions
EBK LINEAR ALGEBRA AND ITS APPLICATIONS
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