EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at a rate of 45 gal/min. How much of the additive is in the tank 20 min after the pumping process begins (Figure 16.7)? dy dt The differential equation modeling the mixture process is dy dt = 40 gal/min containing 2 lb/gal y(t) (40 x 2) - (45 x - (45 × V(C) v(t) = 80- - 45 gal/min containing lb/gal 45 y(t) 2000-5t/

Elements Of Electromagnetics
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EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini-
tially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline
containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The
well-mixed solution is pumped out at a rate of 45 gal/min. How much of the additive is in
the tank 20 min after the pumping process begins (Figure 16.7)?
dy
dt
40 gal/min containing 2 lb/gal
The differential equation modeling the mixture process is
dy
dt
y(t)\
(40 × 2) - (45 × V(6)
X
= 80-
45 y(t)
2000-5t/
Apply Euler's methods to find y(20) = ? Ib
Yo=y (0) = 100
45 gal/min containing lb/gal
9
to = 0
Transcribed Image Text:EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at a rate of 45 gal/min. How much of the additive is in the tank 20 min after the pumping process begins (Figure 16.7)? dy dt 40 gal/min containing 2 lb/gal The differential equation modeling the mixture process is dy dt y(t)\ (40 × 2) - (45 × V(6) X = 80- 45 y(t) 2000-5t/ Apply Euler's methods to find y(20) = ? Ib Yo=y (0) = 100 45 gal/min containing lb/gal 9 to = 0
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