A very long telephone transmission line is initially at a constant potential u0 If the
Chapter 15, Problem 25(choose chapter or problem)
A very long telephone transmission line is initially at a constant potential u0 If the line is grounded at x = 0 and insulated at the distant right end, then the potential u(x, t) at a point x along the line at time t is determined from a2u au -2 - RC - - RGu = 0, x > 0, t > 0 ax at Ii au u(O, t) = 0, m - = 0, t > 0 x-+oo ax u(x, 0) = u0, x > 0, where R, C, and G are constants known as resistance, capacitance, and conductance, respectively. Solve for u(x, t). [Hint: See in Exercises 15.1.]
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