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0. Consider the figure below. At t = 0, Tank 1 contains 30 L of water and 25 g of salt and Tank 2 contains 20 L of water and 15 g of salt. a) Let x, (t), x, (t) be the amount of salt in each tank at time t. Write differential equations and initial conditions that model the flow process. b) Find the complementary solution only. ie. solution for the homogeneous system. min 1 g/L 1 L/min , 3 g/L

0. Consider the figure below. At t = 0, Tank 1 contains 30 L of water and 25 g of salt and Tank 2 contains 20 L of water and 15 g of salt. a) Let x, (t), x, (t) be the amount of salt in each tank at time t. Write differential equations and initial conditions that model the flow process. b) Find the complementary solution only. ie. solution for the homogeneous system. min 1 g/L 1 L/min , 3 g/L

Advanced Engineering Mathematics
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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10. Consider the figure below. At t = 0, Tank 1 contains 30 L of water and 25 g of salt and Tank 2 contains 20 L of water and 15 g of salt. a) Let x, (t), x, (t) be the amount of salt in each tank at time t. Write differential equations and initial conditions that model the flow process. b) Find the complementary solution only. ie. solution for the homogeneous system. 1.5 L/min 1 g/L 1 L/min , 3 g/L 3L/min > 1.5 L/min Tank 1 2.5 L/min Tank 2
Transcribed Image Text:10. Consider the figure below. At t = 0, Tank 1 contains 30 L of water and 25 g of salt and Tank 2 contains 20 L of water and 15 g of salt. a) Let x, (t), x, (t) be the amount of salt in each tank at time t. Write differential equations and initial conditions that model the flow process. b) Find the complementary solution only. ie. solution for the homogeneous system. 1.5 L/min 1 g/L 1 L/min , 3 g/L 3L/min > 1.5 L/min Tank 1 2.5 L/min Tank 2
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