Q2. The charge of the condenser Q(t) = ,1(t)dt is the rate of change of the current I. In other words, I = dt dQ Suppose in an electrical circuit, current I satisfies dI L-+ RI + dt 1 I(t)dt = sint, I(0) = 1. Using Laplace transforms, find the current I(t) for a case of = 1, R = 3,c =;. [10]

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Chapter2: Second-order Linear Odes
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Differential Equation question
Q2.
The charge of the condenser Q(t) = I(t)dt is the rate of change of the current I. In
other words, I =
dt
dQ
Suppose in an electrical circuit, current I satisfies
dI
L-+ RI +
dt
1
I(t)dt = sint, I(0) = 1.
Using Laplace transforms, find the current I(t) for a case of = 1, R = 3,c = ; .
[10]
Transcribed Image Text:Q2. The charge of the condenser Q(t) = I(t)dt is the rate of change of the current I. In other words, I = dt dQ Suppose in an electrical circuit, current I satisfies dI L-+ RI + dt 1 I(t)dt = sint, I(0) = 1. Using Laplace transforms, find the current I(t) for a case of = 1, R = 3,c = ; . [10]
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