Solution-Solution for the special case

Solution for the special case

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Prove d/dt(u(x(t),t))+tanh(x(t))(d/dx(u(x(t),t)))=0 u(x(t),0)=a(x(t)) limit as x tends to infinity of u(x,t)=0 has at most one solution.Explain why there is no boundary condition at x=0 and find a solution for the special case a(x(t))=sinh(x(t))

Reference no: EM13957216

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Solution for the special case : Prove d/dt(u(x(t),t))+tanh(x(t))(d/dx(u(x(t),t)))=0 u(x(t),0)=a(x(t)) limit as x tends to infinity of u(x,t)=0 has at most one solution.Explain why there is no boundary condition at x=0 and find a solution for the special case a(x(t))=sinh(x(t))

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Solution for the special case

Reference no: EM13957216

Reference no: EM13957216

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