You own a large hot air balloon which is fully inflated and
You own a large hot air balloon, which is fully inflated and has 70,000 cubic feet of air. When it is allowed to deflate, its rate of air loss at any given moment is equal to 6 percent of how much air is in the balloon.
Let Q(t) denote the amount of air in the balloon after t hours, measured in thousands of cubic feet.
A) Write down a differential equation satisfied by Q(t):
Q\'=????
Let Q(t) denote the amount of air in the balloon after t hours, measured in thousands of cubic feet.
A) Write down a differential equation satisfied by Q(t):
Q\'=????
Solution
dQ/dt=-0.06*Q Q=ce^(-0.06t) At t=0 q=70 Q=70e^(-0.06t)