Consider la PDE xu_x+yu_y+zu_z=0 a ) solve the pde subject to u(x,y,1)=x^2+y+1. Where is the solution defined?
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Question:
Consider la PDE xu_x+yu_y+zu_z=0
a) solve the pde subject to u(x,y,1)=x^2+y+1. Where is the solution defined?
b) Considering the characteristic curves, show that any solution of the PDE that is defined for all (x,y,z) must be constant.
c) find any non-constant solution of the PDE that is C^1 for all (x,y,z) except (0,0,0)
Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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