Hey, please can someone explain this question to me because i really don't understand how to get the correct answer:
8. Liquid is pouring into a container at a constant rate of 20 cm^3 s–1 and is leaking out at a rate proportional to the volume of the liquid already in the container.
(a) Explain why, at time t seconds, the volume, V cm3, of liquid in the container satisfies the differential equation
dV/dt = 20 – kV,
where k is a positive constant.
Core 4 !! Rates watch
- Thread Starter
- 08-04-2011 22:29
Offline20ReputationRep:Community AssistantStudy Helper
- Community Assistant
- Study Helper
- 08-04-2011 22:38
The rate of change of liquid in the container (dv/dt) is equal to the rate of water going in minus the rate of water leaking out.
Where are you stuck?