Find formulas for the voltages X₁ and x₂ (as functions of time t) for the following circuit represented by the 2x2 matrix A. Assume R₁ = 1/11 ohms, R₂ = 1/9 ohms, C₁ = 4 farads, C₂ = 9 farads, and an initial charge of 3 volts on both capacitors. x₁ ' (t) X₁ (t) GH] =A X₂' (t) x2 (t) More Info M R₁ C₁ + HA C₂ given A = R₂ www (1/R₁+1/R₂) 1 R₂C₂ 1 R₂C₁ -1 R₂C₂

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find formulas for the voltages X₁ and x₂ (as functions of time t) for the following circuit represented by the 2x2
matrix A. Assume R₁ = 1/11 ohms, R₂ = 1/9 ohms, C₁ = 4 farads, C₂ = 9 farads, and an initial charge of 3 volts on
both capacitors.
x₁ ' (t)
X₁ (t)
CH]
X₂' (t) x2 (t)
More Info
M
R₁
C₁
+
HA
C₂
given A =
R₂
www
(1/R₁+1/R₂)
1
R₂C₂
1
R₂C₁
-1
R₂C₂
Transcribed Image Text:Find formulas for the voltages X₁ and x₂ (as functions of time t) for the following circuit represented by the 2x2 matrix A. Assume R₁ = 1/11 ohms, R₂ = 1/9 ohms, C₁ = 4 farads, C₂ = 9 farads, and an initial charge of 3 volts on both capacitors. x₁ ' (t) X₁ (t) CH] X₂' (t) x2 (t) More Info M R₁ C₁ + HA C₂ given A = R₂ www (1/R₁+1/R₂) 1 R₂C₂ 1 R₂C₁ -1 R₂C₂
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