Q3. The tank in Figure 1 contains 80 lb of salt dissolved in 500 gal of water. The inflow per minute is 20 lb of salt dissolved in 20 gal of water. The outflow is 20 gal/min of the uniform mixture. Find the time when the salt content y(t) in the tank reaches 95% of its limiting value (as t→ ∞). Figure 1: Tank with inflow and outflow

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Q3. The tank in Figure 1 contains 80 lb of salt dissolved in 500 gal of water. The inflow per minute is
20 lb of salt dissolved in 20 gal of water. The outflow is 20 gal/min of the uniform mixture. Find the
time when the salt content y(t) in the tank reaches 95% of its limiting value (as t → ∞).
Figure 1: Tank with inflow and outflow
Transcribed Image Text:Q3. The tank in Figure 1 contains 80 lb of salt dissolved in 500 gal of water. The inflow per minute is 20 lb of salt dissolved in 20 gal of water. The outflow is 20 gal/min of the uniform mixture. Find the time when the salt content y(t) in the tank reaches 95% of its limiting value (as t → ∞). Figure 1: Tank with inflow and outflow
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