Repeat Problem 4 for the case when the temperature of the water tank increases

linearly with time at a rate of r.


PROBLEM 4 The temperature of a steel sphere with initial temperature Tsubmerged in water

with temperature Tis governed by the initial-value problem RC +  T  = Ti , T(0) = T0


is the thermal resistance due to convection

is the thermal capacitance of the sphere

Find the temperature of the sphere at any time, as well as its steady-state value.