Q1. A ball at 1200 K is allowed to cool down in air at an ambient temperature of 300 K. Assuming heat is lost only due to radiation, the differential equation for the temperature of the ball is given by OP = -2.2067x10-12 (0ª – 81×10*) dt 0(0) = 1200K where 0 is in K and t in seconds. Find the temperature at t=480 seconds using the Runge-Kutta 4th order method. Assume a step size of h=120 seconds.

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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.