- #1
Zerius
- 11
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Homework Statement
This is really a question that I can't figure out at work right now, so it is a real life example of (an ODE?) math problem.
reservoir height (ft) as a function of Volume (Million Gallons)
h(V) = 0.001V3-0.04V2+1.7802V
reservoir drain as a function of time (t=days) h = ft
h(t) = -0.2016t+8.4213 (based on a 5-day trend when reservoir is at 11ft-ish)
in other words, the important part of the equation is dh/dt= -0.2016ft/day
I want to find out what the rate of discharge is when the reservoir is at 15ft. i.e. gallons/min or million gallons / day when the height is at 15ft.
I believe it is a ODE? but I'm really stumped
The Attempt at a Solution
Lots of paper on my desk, and no answers. HAH!