- #1

olicoh

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- 0

## Homework Statement

Suppose the rate at which the volume in a tank decreases is proportional to the square root of the volume present. The tank initially contains 25 gallons, but has 20.25 gallons after 3 minutes. Solve for the general solution (do not solve for V).

## The Attempt at a Solution

dV/dt = k√(V)

That's as far as I got. I know I have to "separate" the variables and whatnot, but there is no 't' to separate and differentiate from. I guess the equation would be: ∫1/√(V) dV = k∫ ___ dt

So my question is, since there is no 't' in the equation, what do I differentiate instead?