An oil tank contains 100 liters of oil an initial time t = 0. Someone starts pumping oil into the tank at a constant rate of 10 liters per second. Simultaneously, oil starts flowing out through the outlet in the base at the rate ț² (in liters per second) at time t. a. Find the differential equation that would describe the volume of the oil in the tank at time t (in seconds). b. Find the volume of the oil in the tank at time t (in seconds). c. Will the tank ever be empty? Explain.

An oil tank contains 100 liters of oil an initial time t = 0. Someone starts pumping oil into the tank at a constant rate of 10 liters per second. Simultaneously, oil starts flowing out through the outlet in the base at the rate ț² (in liters per second) at time t. a. Find the differential equation that would describe the volume of the oil in the tank at time t (in seconds). b. Find the volume of the oil in the tank at time t (in seconds). c. Will the tank ever be empty? Explain.

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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