Answer: Find a general solution of the ODE y" + w2y = ret)

Chapter 11, Problem 11.1.98

(choose chapter or problem)

Find the steady-state current I(t) in the RLC - circuit in Fig. 272, where \(R=100 \Omega, L=10 \mathrm{H}, C=10^{-2} \mathrm{~F}\) and E(t) V as follows and periodic with period \(2 \pi\). Sketch or graph the first four partial sums. Note that the coefficients of the solution decrease rapidly.

\(E(t)=200 t\left(\pi^{2}-t^{2}\right)(-\pi<t<\pi)\)

Text Transcription:

R = 100 Omega, L = 10 H, C = 10^{-2} F

2 pi

E(t) = 200 t (pi^2 - t^2) (-pi < t < pi)

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