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b) Given an LC-circuit as dq L UTM UTA I dt?T= Eo sin wt where C is the capacitance, L is inductance, and Eo is a constant. If %3! wo = e and w # wos show that the general solution for q(t) is given GUT %3D by SUTM q(t) = A cos wot + B sin wgt + UTMUTM E, UT -sin wt L(w3 - w) SUTM UTM aUTMUTM 2

b) Given an LC-circuit as dq L UTM UTA I dt?T= Eo sin wt where C is the capacitance, L is inductance, and Eo is a constant. If %3! wo = e and w # wos show that the general solution for q(t) is given GUT %3D by SUTM q(t) = A cos wot + B sin wgt + UTMUTM E, UT -sin wt L(w3 - w) SUTM UTM aUTMUTM 2

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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b) Given an LC-circuit as dq UTM UTA I dt?T= E0 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 %3D by SUTM UTM UTM q(t) = A cos wot + B sin wot + E, UTM -sin wt L(w - w?) SUTM UTM aUTMUTM 2.
Transcribed Image Text:b) Given an LC-circuit as dq UTM UTA I dt?T= E0 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 %3D by SUTM UTM UTM q(t) = A cos wot + B sin wot + E, UTM -sin wt L(w - w?) SUTM UTM aUTMUTM 2.
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