A rising exponential signal of time could signify how pollution,hatred, destruct

Question

A rising exponential signal of time could signify how pollution,hatred, destruction, population, etc. increases as time goes on. Itcould signify how a system may unstable.
Plot the exponential function 10 exp(2t) for the time interval-2=< t<2 seconds: x(t) = [u(t+2)-u(t-2)]10exp(2t)
u(t) = 0 t<0 u(t) =1 t>0
Plot the exponential function 10 exp(2t) for the time interval-2=< t<2 seconds: x(t) = [u(t+2)-u(t-2)]10exp(2t)
u(t) = 0 t<0 u(t) =1 t>0

Explanation / Answer

like your posting states, the heaviside step function u(t) isdefined as 0 for t < 0 and 1otherwise. therefore, in matlab: >> t=-2:0.001:2; >> x=10*exp(t); >> plot(t,x)

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