If
is the amount of salt in the tank at time
, then the rate at which this amount changes over time is given by the ODE
We're told that the tank initially starts with no salt in the water, so
.
Multiply both sides by an integrating factor,
:
Since
, we have
so that the amount of salt in the tank over time is given by
After 10 minutes, the amount of salt in the tank is
Y-intercept= 5
Rate of change= 3
Answer:
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Step-by-step explanation: