A sphere with radius 1 m has temperature 15 degrees C. It lies inside a concentric sphere with radius 2 m and temperature 25 degrees C.
The temperature T(r) at a distance r from the common center of the spheres satisfies the differential equation:
. . .(d^2T)/(dr^2) + (2/r)(dT/dr)=0
If we let S=dT/dr, then S satisfies a first-order differential equation. Solve it to find an expression for the temperature T(r) between the spheres.
The temperature T(r) at a distance r from the common center of the spheres satisfies the differential equation:
. . .(d^2T)/(dr^2) + (2/r)(dT/dr)=0
If we let S=dT/dr, then S satisfies a first-order differential equation. Solve it to find an expression for the temperature T(r) between the spheres.