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