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Consider the PDE, u_t = u*u_xx, over the domain x, t > 0, subject to the initial condition, u(x,0)=x^2 and the boundary condition, u(0,t) =

Consider the PDE, u_t = u*u_xx, over the domain x, t > 0, subject to the initial condition, u(x,0)=x^2 and the boundary condition, u(0,t) = 0. Using the similarity solution method, write u in terms of a function of a single variable (), for some suitably defined variable

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