PROBLEM 24 - 0579: by the position of a valve. Water flow into a tank is regulated The position of the valve is controlled by the height of a float: as the float drops, the valve is turned on to admit...

Extracted text: PROBLEM 24 - 0579: by the position of a valve. Water flow into a tank is regulated The position of the valve is controlled by the height of a float: as the float drops, the valve is turned on to admit the water, while the rising water level causes the float to rise, which gradually shuts off the valve, stopping the flow of water. Write a FORTRAN program to simulate this system, using the modified Euler's method, from time t = 0 to t= tf, if the volume at timet is V(t), V(0) = 0, %3D and the capacity of the tank is C units of volume.