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10 questions from this quiz
Physics, biology, economics, engineering
Identify dependent & independent variables
dPdt=kP\frac{dP}{dt} = kPdtdP=kP
P(t)=P0ektP(t) = P_0 e^{kt}P(t)=P0ekt
The population decays exponentially
dTdt=−k(T−Tr)\frac{dT}{dt} = -k(T - T_r)dtdT=−k(T−Tr)
The room temperature TrT_rTr
Second-order linear with constant coefficients
d2xdt2+kmx=0\frac{d^2x}{dt^2} + \frac{k}{m}x = 0dt2d2x+mkx=0
ω=km\omega = \sqrt{\frac{k}{m}}ω=mk
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