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Differential equations.
The amount of money A in a bank account that earns continuously compounded interest at the
annual interest rate of r can be modeled by the differential equation:
dA/dt = rA
In real life, people don
Solution
dA/dt=rA
dA/A=rdt
integrating both side
lnA=rt+c

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Differential equations.The amount of money A in a bank account tha.pdf

  • 1. Differential equations. The amount of money A in a bank account that earns continuously compounded interest at the annual interest rate of r can be modeled by the differential equation: dA/dt = rA In real life, people don Solution dA/dt=rA dA/A=rdt integrating both side lnA=rt+c