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Differential Equations from Context
Worksheet
Grade Level
Calculus II
CAL2.91 Differential Equations from Context
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A rumor spreads in a town with N people. If I(t) people know the rumor, new spread is proportional to interactions I(N - I), and people forget at rate rI. Which model describes I?
A
dI/dt = kI(N - I) + rI
B
dI/dt = kI(N - I) - rI
C
dI/dt = k(N - I) - r
D
dI/dt = rI - kI(N - I)
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