28. Water flows from an inverted conical tank with circular orifice at the rate dx -0.6r² /2g- dt A(x)' where r is the radius of the orifice, æ is the height of the liquid level from the vertex of the cone, and A(x) is the area of the cross section of the tank æ units above the orifice. Supposer = 0.1 ft, g= 32.1 ft/s², and the tank has an initial water level of 8 ft and initial volume of 512(T/3) ft°. Use the Runge-Kutta method of order four to find the following: a. The water level after 10 min with h = 20 s b. When the tank will be empty, to within 1 min

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.