Please help with Question D

Consider the initial value problem Ut uux = 0 with u(x, 0) = g(x) = 1 for x 1. 1 2 (a) Sketch (or plot) the base characteristics. (b) Find the solution. In what region is the solution single-valued? (c) Sketch or plot the solution for t=0, 2, 4. (d) Find the shock solution for this system. Consider the initial value problem Ut uux = 0 with u(x, 0) = g(x) = 1 for x 1. 1 2 (a) Sketch (or plot) the base characteristics. (b) Find the solution. In what region is the solution single-valued? (c) Sketch or plot the solution for t=0, 2, 4. (d) Find the shock solution for this system