Question: Let u satisfy the diffusion equation u_t=1/2u_xx, show that 'v' satisfies the backward diffusion equation for t>0 4. (20 points) Let u satisfy the diffusion

Let u satisfy the diffusion equation u_t=1/2u_xx,

show that 'v' satisfies the backward diffusion equation for t>0

4. (20 points) Let u satisfy the diffusion equation ut = Suxx. Let v (x, t) = 1 12t u Show that v satisfies the "backward" diffusion equation Ut = -?Vxx for t > 0

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