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Consider the circuit shown in Figure.
a. Write the differential equation for i(t).
b. Find the time constant and the form of the complementary solution.
c. Usually, for an exponential forcing function like this, we would try a particular solution of the form ip(t) = K exp( 2t). Why doesn't that work in this case?
d. Find the particular solution. [Hint: Try a particular solution of the form ip(t) = Ktexp(-2t).]
e. Find the complete solution for i(t).
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Using MatLab, create and graph the pairwise convolution of the following functions (i.e., A must be convolved with B, C, D, and E, individually. B must be convolved with C, D, and E, individually, Etc.). All time scales are -4 to +4.
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