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 T0 submerged in water
with temperature Ti is governed by the initial-value problem RC + T = Ti , T(0) = T0
R is the thermal resistance due to convection
C is the thermal capacitance of the sphere
Find the temperature of the sphere at any time, as well as its steady-state value.