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    Mathematical Modelling : Elliptic Partial Differential Equation

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    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)?

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    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.