7. The temperature u(x) in a cooling fin satisfies the differential equation d²u hC (u-T), == dx² and boundary conditions KA du -K 0< x < a u(0) = To, That is, the temperature at the left end is held at To > T, while the surface of the rod and its right end exchange heat with a surrounding medium at temperature T. Find u(x). -(a) = h(u(a) - T). dx

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