Question

Differential Equation math, help? A pond initially contains 1,000,000 gal of water and an unknown amount of an undesirable chemical.
Water containing 0.01 gram of this chemical per gallon
ows into the pond at a rate of 300 gal/hr. The
mixture
ows out at the same rate, so the amount of water in the pond remains constant. Assume that the
chemical is uniformly distributed throughout the pond.

Answer 1

I need to write differential equation for the amount of chemical in the pond at any time.

Answer 2

but I don't even know how to start?

Answer 3

so water level says the same at 1,000,000 gal what changes in concentration

Answer 4

the amount of chemical?

Answer 5

The thing I don't understand is why is the rate for chemical different if the water rate is the same flowing in and out

Answer 6

let A(t) be amount of chem in pond

Answer 7

dA/dt= .01- 300* A(t)/1,000,000

Answer 8

flow in rate is .01 gram of chemical

flow out rate is A(t) , A(t)/volume * 300

Answer 9

okay so the equation you just posted the right side "300* A(t)/1,000,000" does that give the amount of chemical flowing in?

Answer 10

that's amount of chem flowing out

Answer 11

btw, I gotta go

Answer 12

okay last thing why'd you minus it from .01