H1 Prove the comparison principle for the diffusion equation: Let u and v be two C2...

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H1 Prove the comparison principle for the diffusion equation: Let u and v be two C2 solutions of ut kua with k > 0 on [0, 1] × [0, x). If u(x, t) < v(x, t) for (x, t) E [0,1] × {0}, for (x, t) E {0} × [0, 0) and for (x, t) E {l} × [0, 0), then u <v on [0, 1] × [0, 0). H1 Prove the comparison principle for the diffusion equation: Let u and v be two C2 solutions of ut kua with k > 0 on [0, 1] × [0, x). If u(x, t) < v(x, t) for (x, t) E [0,1] × {0}, for (x, t) E {0} × [0, 0) and for (x, t) E {l} × [0, 0), then u <v on [0, 1] × [0, 0).