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A U-tube manometer is initially filled with water, but exposed to a pressure difference such that the water level on the left side of the U-tube is 0.025m higher than the level on the right. At t =0 the pressure difference is suddenly removed. Where L =0.2m is the total length of the U-tube, and g=9.81m/s^2. Write the matlab solution for the ODE using the fourth order runge-kutta method and plot y and dy/dx as a function of t for the first 10 seconds. Reduce the second-order ODE to a system of two first order and solve the system.
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