600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min saltwater with [salt]=2g/L, Outflow of the mixture at [salt]=Q/V has rate 4L/min. Write the IVP for Q(t)= quantity of salt in the mixing fank. OP 20 30 100 4t OP dt 20 100 t 100 4Q 600 t dt A 600 100 4t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min
saltwater with [salt]=2g/L, Outflow of the mixture at (salt]=Q/V has rate 4L/min.
Write the IVP for Q(t)= quantity of salt in the mixing tank.
20
3Q
100 4t
20
dt
100
100
dt
600 t
600
100 4t
dt
Transcribed Image Text:600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min saltwater with [salt]=2g/L, Outflow of the mixture at (salt]=Q/V has rate 4L/min. Write the IVP for Q(t)= quantity of salt in the mixing tank. 20 3Q 100 4t 20 dt 100 100 dt 600 t 600 100 4t dt
O dQ
dt
20 -
100 t
O dQ
dt
4Q
100
600 t
dQ
- 600
%3D
dt
100-4t
dQ
20
dt
501t
4Q
100 t
dQ
dt
Transcribed Image Text:O dQ dt 20 - 100 t O dQ dt 4Q 100 600 t dQ - 600 %3D dt 100-4t dQ 20 dt 501t 4Q 100 t dQ dt
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