I am trying to verify my work. The wording or the question is throwing me off. P

Question

I am trying to verify my work. The wording or the question is throwing me off. Please explain all answers fully. Thank you!

Kirchhoff s voltage law states that the sum of the voltage drops across a resistor, R0 an inductor, L, and a capacitor, C. in an electrical circuit must be the same as the voltage source, E(t), applied to that RLC circuit. Applying the additional fact that the current, I, is related to the charge, q, by the relationship the resulting ODE model for the charge in a circuit is:

Explanation / Answer

0.1q?? + 1q? + 260q = 100cos 60t

Homogeneous Eq. 0.1q?? + q? + 260q = 0

0.1?2 + 1? + 260= 0

? = ?5

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