Solve equation (15) subject to i(0) = 0 with E(t) as given. Use a graphing utility to graph the solution for 0 ≤ t ≤ 4 in the case when L = 1 and R = 1.

E(t) is the sawtooth function in Problem 51 with amplitude 1 and b = 1.

Problem 51

In problem use Theorem 7.4.3 to find the Laplace transform of the given periodic function.

THEOREM 7.4.3

If f (t) is piecewise continuous on [0, ∞), of exponential order, and periodic with period T, then

Transcribed Image Text:

e~" f(t) dt. 1-eT