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A cylindrical tank, with the circular ends parallel to the ground, is leaking th...
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A cylindrical tank, with the circular ends parallel to the ground, is leaking through a circular hole in the bottom. The tank has a diameter of 4 m, and the hole has a diameter of 0.1 m.
\normalsize\frac{dh}{dt}=-9\frac{A_1}{A_2}\sqrt{h}
where h is the height of water in the tank, t is time, A1 is the cross sectional area of the hole and A2 is the cross-sectional area of the tank.
The initial height of water in the tank is 1.5 m.
What is the error at a time of 200 seconds between the analytical solution and a fourth order Runge Kutta method of 5 steps
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