A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 1/5pound of salt per gallon is added to the tank at 10 gal/min, and the resulting mixture is drained out at 5gal/min. Let Q(t) denote the quantity (lbs) of salt at time t (min).(a) Write a differential equation for Q(t) which is valid up until the point at which the tank overflows.50t+Q' (t) =X Check your variables you might be using an incorrect one.50+t(b) Find the quantity of salt in the tank as it's about to overflow.38.5XOll✓@W#3et² + cC$4%5+6&7O*8O911OF

Answered: Image /qna-images/answer/ee6c9902-6448-4efe-a53e-d0af34a3b45f.jpg

Answered: A 200 gallon tank initially contains…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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