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Given an LC-circuit as UTM + 승-E, sin at dt? where C is the capacitance, L is inductance, and Eo is a constant. If wo = and w # wo, show that the general solution for q(t) is given by SUTM q(t) = A cos wt + B sin wat + %3D UTM sin wt L(w – w²) UTM

Given an LC-circuit as UTM + 승-E, sin at dt? where C is the capacitance, L is inductance, and Eo is a constant. If wo = and w # wo, show that the general solution for q(t) is given by SUTM q(t) = A cos wt + B sin wat + %3D UTM sin wt L(w – w²) UTM

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2 (b)

b) Given an LC-circuit as L dq UTM UTA I dt?T= Eo sin wt where C is the capacitance, L is inductance, and Eo is a constant. If wo = e and w + wo, show that the general solution for q(t) is given UTM S %3D by SUTM UTM UTM q(t) = A cos wot + B sin wot + E, UTM -sin wt L(w3 – w²) UTM UTM UTM UIMUTM 2.
Transcribed Image Text:b) Given an LC-circuit as L dq UTM UTA I dt?T= Eo sin wt where C is the capacitance, L is inductance, and Eo is a constant. If wo = e and w + wo, show that the general solution for q(t) is given UTM S %3D by SUTM UTM UTM q(t) = A cos wot + B sin wot + E, UTM -sin wt L(w3 – w²) UTM UTM UTM UIMUTM 2.
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