(a) Solve the initial value problem in explicit form: t ∂u ∂t + (t + u) ∂u ∂x = x − t, u(x, 1) = 1 + x, |x| ≤ 2, sketch typical base characteristics in the xt-plane. Show the subset of R2 in which the solution u(x, t) is defined.

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Q: Please don't provide handwritten solution ...

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Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

A: To evaluate :- 3-5 * 39