2. Prove the comparison principle for the diffusion equation: If u and v are two solutions...

 

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2. Prove the comparison principle for the diffusion equation: If u and v are two solutions of ut = kurz for 0 < x < l and t > 0, and u ≤ v initially (t = 0) and on the boundary (x = 0, 0), then u(x, t) ≤ v(x, y) for all t. 2. Prove the comparison principle for the diffusion equation: If u and v are two solutions of ut = kurz for 0 < x < l and t > 0, and u ≤ v initially (t = 0) and on the boundary (x = 0, 0), then u(x, t) ≤ v(x, y) for all t.

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Solution If u and v are solutions to the diffusion e... View the full answer