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5. Consider the PDE xUx+ yUy + zUz = o a. By considering the characteristic curves,...

5. Consider the PDE xUx+ yUy + zUz = o
a. By considering the characteristic curves, show that any solution of the PDE which is defined for all (x,y,z) must be constant.

b. Find any nonconstant solution of the PDE which is C1 for all (x,y,z) except (0,0,0).

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