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10 cards from this deck
dPdt=kP\frac{dP}{dt} = kPdtdP=kP
P(t)=P0ektP(t) = P_0 e^{kt}P(t)=P0ekt
dTdt=−k(T−Ta)\frac{dT}{dt} = -k(T - T_a)dtdT=−k(T−Ta)
T(t)=Ta+Ce−ktT(t) = T_a + Ce^{-kt}T(t)=Ta+Ce−kt
mdvdt=mg−kvm\frac{dv}{dt} = mg - kvmdtdv=mg−kv
v=mgkv = \frac{mg}{k}v=kmg
a=vdvdsa = v\frac{dv}{ds}a=vdsdv
F(x)=e∫P(x)dxF(x) = e^{\int P(x)dx}F(x)=e∫P(x)dx
Exponential growth
Exponential decay
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