Question: Question: 1 (Diffusionon the whole line) 7P. Solve the diffusion equation ut = kuxx for x E R and t E (0, co) subject to

Question: 1 (Diffusionon the whole line) 7P. Solve the diffusion equation ut = kuxx for x E R and t E (0, co) subject to the initial condition e -5x " > 0 u(x, 0) : e5x x

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