Question: 2. Consider the first order system dtdx(t)+x(t)=I(t) The system is at rest initially, i.e., x(t=0)=0 is the initial condition of the system. The system is

2. Consider the first order system dtdx(t)+x(t)=I(t) The system is at rest initially, i.e., x(t=0)=0 is the initial condition of the system. The system is exposed to an input (source) function I(t), which consists of a sequence of impulses of strength b with time interval T=1 (think of a neuron that is firing with uniform time intervals). In other words, I(t)=b(t)+b(t1)+b(t2)+b(t3)+b(tN). What would be the system response x(t) after a) Two impulses I(t)=b(t)+b(t1) b) N impulses I(t)=b(t)+b(t1)+b(t2)+b(t3)+b(tN)
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