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# First Order Differential Equation Modeling Tank problems

## First Order Differential Equation Modeling Tank example question

Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 gram per liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liter per minute, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.

Solution to this Differential Equations practice problem is given in the video below!

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2. PerryYCota says:

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3. Helene says:

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4. Hugh says:

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5. Xena says:

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6. Alan says:

This helped a lot, thank you

7. Alexa says:

Thank you so much, this helped me understand how to set up the complicated word problems in diff eq.