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10 cards from this deck
It's applying math to describe how quantities change over time.
Identify dependent and independent variables for the problem.
Identify relationships among variables or rates of change.
Identify the dynamic relationships in the system.
Find the general or particular solution to the equation.
Relate the solution back to the original problem context.
The equation: dP/dt=kPdP/dt = kPdP/dt=kP, with kkk being a constant.
The population grows exponentially over time.
It's dT/dt=−k(T−Tr)dT/dt = -k(T - T_r)dT/dt=−k(T−Tr), where TrT_rTr is room temperature.
A mass oscillates due to forces proportional to its displacement.
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