2. find u (x, t) for 0 < x < 1 and f> 0 which solves Ut - Uxx = e¹, u (x,0) = 1, u (1, t) = u (0, t) = 0.

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Q: find u (x, t) for 0 0 which solves Ut -Uxx = 0, u (x,0) = 1, ux (1,t) = t, ux (0,t) = 0.

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Q: 2. Consider the equation ut = c²uxx for 0 < x < 1, with the boundary con- ditions ux(0, t) = 0, u(l,…

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