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Mathematical Modelling : Elliptic Partial Differential Equation

Please see the attached file for the fully formatted problem.

Show that the PDE
is of elliptic type for 0<y<1and all x does not equal 0; what is it for y>1and y<0 (and all x does not equal 0)?


Solution Preview

Consider the general form of the second-order partial differential equation:

aUxx + bUxy + cUyy + d Ux + e Uy + fU +g = 0

The "characteristic expression" b^2-4ac decides the type of equation. ...

Solution Summary

A PDE is described under constraints and found to be elliptic. The solution is explained using relevant equations.