For two concentric spheres with radii rį = a and r2 = b, with a < b, the temperature T(r) of the region between the spheres at a distance r from the center is determined by solving the following boundary value problem dT dT + 2- dr2 dr T(a) = to T(b) = tị where to and ti represent the surface temperature of each of the spheres, respectively. Consider two concentric spheres with radii rį = 2 cm and r2 = 4 cm and temperature of their surfaces 10 °C and 30 °C, respectively, then (Explain extensively) (a) State the differential equation and the conditions that allow finding the temperature of the region between the spheres at a distance r from the center. (b) Determine the temperature T(r) of the region between the two spheres at a distance r from the center. (c) What is the temperature at 3 cm from the center?

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