The stationary temperature u(r){"version":"1.1","math":"\(u(r)\)"} between two concentric spheres of radii r1=2{"version":"1.1","math":"\(r_1 = 2\)"} and r2=8{"version":"1.1","math":"\(r_2 =...

Question

Question

The stationary temperature  u(r){"version":"1.1","math":"\(u(r)\)"}  between two concentric spheres of radii

r1=2{"version":"1.1","math":"\(r_1 = 2\)"}  and  r2=8{"version":"1.1","math":"\(r_2 = 8\)"}  satisfies

urr+2rur=0.{"version":"1.1","math":"\( \displaystyle{ u_{rr}+\frac2ru_r=0}.\)"}

The temperature on each sphere is u(2)=25{"version":"1.1","math":"\(u(2) = 25\)"} and u(8)=43,{"version":"1.1","math":"\(u(8) = 43,\)"} respectively.

Find the value of u(6).

Question 3 (1 point) The stationary temperature u(r) between two concentric spheres of radii ri = 2 and r2 = 8 satisfies 2 Ur

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