5. v t + cv x + λv =0 v ( x, 0) = F ( x ) where λ> 0and F ( x )isg iven . The ODEs are dx dt = c, dv dt = − λv The initial condition for each: x (0) = ξ, v ( ξ, 0) = F ( ξ ) Solve the characteristic equation to get x = ct + ξ. Now solve the other ODE to get v ( x ( t ) ,t )= Ke −
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.