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.

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

dont know

step-by-step explanation:

it would be 4 over -2 divided by -1 over 3.

if you want a solution it would be 4

you flip it so it would be 4/-2 divided by 3/-1 then it would be 12/3 and you would simplify it to 4