Water flows into a tank at the variable rate R = 1+t gal/min and out at the constant rate Rout= 5 gal/min. Let V(t) be the volume of water in the tank at time t. (a) Set up a differential equation for V(t) and solve it with the initial condition V(0) = 80. V(t) = (b) Find the maximum value of V. maximum value of V = gal

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Water flows into a tank at the variable rate Rin
-
(b) Find the maximum value of V.
maximum value of V =
45
1+t
gal/min and out at the constant rate Rout
(a) Set up a differential equation for V(t) and solve it with the initial condition V(0) = 80.
V (t) =
gal
-
5 gal/min. Let V(t) be the volume of water in the tank at time t.
Transcribed Image Text:Water flows into a tank at the variable rate Rin - (b) Find the maximum value of V. maximum value of V = 45 1+t gal/min and out at the constant rate Rout (a) Set up a differential equation for V(t) and solve it with the initial condition V(0) = 80. V (t) = gal - 5 gal/min. Let V(t) be the volume of water in the tank at time t.
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