6. (3 s) Suppose a cylindrical container containing a fluid has a drain on its side. Torricelli's law states that the change in height of the fluid above the middle of the drain is proportional to the square root of the height of the fluid above the middle of the drain. Let h(t) denote the height of the fluid above the middle of the drain. Determine a differential equation in h(t) that models Torricelli's law. Be sure to define all variables and parameters.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. (3
us) Suppose a cylindrical container containing a fluid has a drain on its side. Torricelli's
law states that the change in height of the fluid above the middle of the drain is proportional to the
square root of the height of the fluid above the middle of the drain. Let h(t) denote the height of the
fluid above the middle of the drain. Determine a differential equation in h(t) that models Torricelli's
law. Be sure to define all variables and parameters.
Transcribed Image Text:6. (3 us) Suppose a cylindrical container containing a fluid has a drain on its side. Torricelli's law states that the change in height of the fluid above the middle of the drain is proportional to the square root of the height of the fluid above the middle of the drain. Let h(t) denote the height of the fluid above the middle of the drain. Determine a differential equation in h(t) that models Torricelli's law. Be sure to define all variables and parameters.
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