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Exercise 103

Avg difficulty 2.5

Suppose a water tank is being pumped out at 3 L/min. The water tank starts at 10 L of clean water. Water with a toxic substance is flowing into the tank at 2 L/min, with concentration 20t20t g/L at time tt. When the tank is half empty, how many grams of toxic substance are in the tank (assuming perfect mixing)?

Lebl, Notes on Diffy Qs, §1.4 Linear equations and the integrating factor, exercise 103

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.