A U-tube manometer is a simple device used to measure the pressure in a fluid motion. It is filledwith water and the equilibrium level of the water levels in the two legs are at y = 0. In the absenceof friction, the level in the leg is governed by the ODE,Ldydt²:-2gy,=with L = 0.1m being the total length of the U-tube and g = 9.80m/s² is the gravitational accelerationconstant. At t= 0: y(0) = 0.025m, y(0) = 0.(1) Reduce the second-order ODE to a system of two first-order ODEs;

Here, we have to reduce the second order ODE to system of first-order two ODEs. Given that…

Answered: Reduce the second-order ODE to a system…

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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