In the figure shown below, assume that all the capacitors are initially uncharged. If ν_i(t) = 10 u(t) Volts, ν₀(t) is given by

A 2mH inductor with some initial current can be represented as shown below, where s is the Laplace Transform variable. The value of initial current is:

A solution for the differential equation $$\mathop x\limits^. $$(t) + 2 x (t) = $$\delta (t)$$ with intial condition $$x({0^ - }) = 0$$ is

As x is increased from $$ - \infty \,\,to\,\infty $$, the function $$f(x) = {{{e^x}} \over {1 + {e^x}}}$$