An electric circuit is described by the system of differential equations #()-(²)() 15 Find the general solution of this equation if R₁ = 1 ohm, R₂ = 17 = +6₂ e 15 ° ( 1 ) - ~ ( ₁₁ ) + (-₁)** ° ( ₁ ) - ~ (1) ** (₁₁) ² = a +0₂ ( ₁ ) = ₁₁ ( ₁ ) ₁ = ¹ + a₂ 0²/2² d ° (1) + 02 (-15) 0-² ₁ (₁-₁) ²₂ (₁) = ² e=¹ e² 1 c ° ( ₁ ) = a₁ ( ₁ ) ₁² +¹ + 0₂ ( ₁1₁ ) 04 e 13 = CR2 ohm, L = 4 henrys, and C = 15 farad.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An electric circuit is described by the system of differential equations
#()-(²)()
15
Find the general solution of this equation if R₁ = 1 ohm, R₂ =
17
=
+6₂
e
15
° ( 1 ) - ~ ( ₁₁ ) + (-₁)**
° ( ₁ ) - ~ (1) ** (₁₁) ²
= a
+0₂
( ₁ ) = ₁₁ ( ₁ ) ₁ = ¹ + a₂
0²/2²
d
° (1)
+ 02 (-15) 0-²
₁ (₁-₁) ²₂ (₁)
= ² e=¹
e²
1 c
° ( ₁ ) = a₁ ( ₁ ) ₁² +¹ + 0₂ ( ₁1₁ ) 04
e 13
=
CR2
ohm, L = 4 henrys, and C =
15
farad.
Transcribed Image Text:An electric circuit is described by the system of differential equations #()-(²)() 15 Find the general solution of this equation if R₁ = 1 ohm, R₂ = 17 = +6₂ e 15 ° ( 1 ) - ~ ( ₁₁ ) + (-₁)** ° ( ₁ ) - ~ (1) ** (₁₁) ² = a +0₂ ( ₁ ) = ₁₁ ( ₁ ) ₁ = ¹ + a₂ 0²/2² d ° (1) + 02 (-15) 0-² ₁ (₁-₁) ²₂ (₁) = ² e=¹ e² 1 c ° ( ₁ ) = a₁ ( ₁ ) ₁² +¹ + 0₂ ( ₁1₁ ) 04 e 13 = CR2 ohm, L = 4 henrys, and C = 15 farad.
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