In an L-C circuit, where there is no resistor, the differential equation is given by: d²q 1 L- dt? +9 = Eocos(wt). Find the charge q(t) subject to the initial conditions: q(0) = q0, q (0) = i,, %3D such that L, C, E,, io, qo, w are constants. Illustrate your answer in case when t o.
In an L-C circuit, where there is no resistor, the differential equation is given by: d²q 1 L- dt? +9 = Eocos(wt). Find the charge q(t) subject to the initial conditions: q(0) = q0, q (0) = i,, %3D such that L, C, E,, io, qo, w are constants. Illustrate your answer in case when t o.
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Transcribed Image Text:Question # 5
In an L-C circuit, where there is no resistor, the differential equation is given by:
d²q
dt? +79 = Eocos(wt).
1
Find the charge q(t) subject to the initial conditions:
q(0) = q0, q'(0) = io,
such that L, C, E9, io, qo, w are constants. Illustrate your answer in case when t → ∞.
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