Prove ddtuxtttanhxtddxuxtt0 uxt0axt limit as x tends to
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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prove ddtuxtttanhxtddxuxtt0 uxt0axt limit as x tends to infinity of uxt0 has at most one solutionexplain why there is
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