Question: 4. (Cole-Hopf transformation). Show that if o satisfies the heat equation then the change of dependent variable u(x, t) =-2 satisfies the viscous Burgers

4. (Cole-Hopf transformation). Show that if o satisfies the heat equation then

4. (Cole-Hopf transformation). Show that if o satisfies the heat equation then the change of dependent variable u(x, t) =-2 satisfies the viscous Burgers equation U + uu,= Ur

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