are 1 A and 0.5 A, respectively, in the directions shown.
(i) Write the mesh equations of the circuit. (ii) Obtain the
differential equation governing the variation of v
o
(t) for t ≥0
+
and calculate the natural frequencies of the circuit. (iii) Obtain
the complete response for v
o
(t) if v
S
(t)
δ
(t). (iv) Obtain the
complete response for v
o
(t) if v
S
(t) u(t). (v) Could you have
obtained the step response by integrating the impulse response?
Explain. (vi) Obtain the total response for the current through
L
1
when v
S
(t) u(t) by expressing the total solution as the sum
of the natural ...
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