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Show that if o satisfies the heat equation then the change of dependent variable (Cole-Hopf transformation). u(x, t) = -2 (In o(r,t) satisfies the

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

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