(Solution) - Write a differential equation describing the depth of water in -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Write a differential equation describing the depth of water in a cylinder where water enters at a rate of 4.0 cm/s but drains out as in Exercise 33. Use your phase-line diagram to sketch solutions starting from y = 10.0 and y = 1.0.
Find the equilibria and draw the phase-line diagram for the above differential equations, in addition to answering the questions.