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grahuntley31
30.07.2019 •
Mathematics
Atank holds 300 gallons of water and 100 pounds of salt. a saline solution with concentration 1 lb salt/gal is added at a rate of 4 gal/min. simultaneously, the tank is emptying at a rate of 1 gal/min. find the specific solution q(t) for the quantity of salt in the tank at a given time t.
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Ответ:
The amount of salt in the tank changes with rate according to
which is a linear ODE in
. Multiplying both sides by
gives
so that the left side condenses into the derivative of a product,
Integrate both sides and solve for
to get
Given that
, we find
and we get the particular solution
Ответ:
x(x+3)(x−10)
Step-by-step explanation:
Hope this was helpful let me know if it was!