
Electric Circuits. Problem 32 and 33 are concerned with the electric circuits described by the system of differential equations in problem 29 of section 3.2:
ddt(iv) = (−R1/L−1/L1/C−1/CR2) (iv). (i)
(a) Find the general solution of Eq. (i) if R1=1 ohm, R2=35 ohm, L = 2 henries, and C= 23 farad.
(b) Show that i(t)→0 and v(t)→0 as t→∞, regardless of the initial values i(0) and v0.
Section 3.2

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