Solve vibrations: the boundary-value problem involving spherical <1-(a2u + au) = ;;iu. 0

Chapter 14, Problem 11

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Solve vibrations: the boundary-value problem involving spherical <1-(a2u + au) = ;;iu. 0 < r < c, t > 0 ar2 r ar af u(c. t) = o. t > 0 u(r, 0) = f(r). u I = g(r). 0 < r < c. at t-0 [Hint: Write the left side of the partial differential equation 1 a2 as a2 --2 (ru). Let v(r. t) = ru(r, t).]

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