3) A RLC circuit has L=1 unit, R = 6 units, and C=1/5 units with E' (t) = sin(t). Given that I'(0) = 1 unit and I(0) = 2 units answer the following. a) Write the differential equation with the initial values. b) Find the current I when t = 2 c) What is the limit of I(t) as tend tends to infinity?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3) A RLC circuit has L=1 unit, R = 6 units, and C=1/5 units with E' (t) = sin(t). Given
that I'(0) = 1 unit and I(0) = 2 units answer the following.
a) Write the differential equation with the initial values.
b) Find the current I when t = 2
c) What is the limit of I(t) as tend tends to infinity?
Transcribed Image Text:3) A RLC circuit has L=1 unit, R = 6 units, and C=1/5 units with E' (t) = sin(t). Given that I'(0) = 1 unit and I(0) = 2 units answer the following. a) Write the differential equation with the initial values. b) Find the current I when t = 2 c) What is the limit of I(t) as tend tends to infinity?
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