% This file:
%   http://anggtwu.net/LATEX/2023-2-C2-edos-exatas-defs.tex.html
%   http://anggtwu.net/LATEX/2023-2-C2-edos-exatas-defs.tex
%          (find-angg "LATEX/2023-2-C2-edos-exatas-defs.tex")
% Author: Eduardo Ochs <eduardoochs@gmail.com>
%
% (defun e () (interactive) (find-angg "LATEX/2023-2-C2-edos-exatas-defs.tex"))
% (defun o () (interactive) (find-angg "LATEX/2023-2-C2-edovs-defs.tex"))

% (c2m232edosexatasp 3 "defs-e-exemplos")
% (c2m232edosexatasa   "defs-e-exemplos")



% «.reset»		(to "reset")
% «.DFI»		(to "DFI")

\sa   {[E5]}{\CFname{E}{_5}}
\sa   {[E3]}{\CFname{E}{_3}}
\sa   {[E2]}{\CFname{E}{_2}}
\sa   {[S1]}{\CFname{S}{_1}}
\sa   {[S2]}{\CFname{S}{_2}}
\sa   {[S3]}{\CFname{S}{_3}}
\def\P#1{\left( #1 \right)}

% «reset»  (to ".reset")
\sa{reset}{
  \sa {z}   {z}
  \sa {z_x} {z_x}
  \sa {z_y} {z_y}
  }
\ga{reset}

% (c2m232edosexatasp 3 "metodo-e-exemplo")
% (c2m232edosexatasa   "metodo-e-exemplo")
\sa{reset-S1}{
  \sa {z}   {(x^2y^3)}
  \sa {z_x} {(2xy^3)}
  \sa {z_y} {(3x^2y^2)}
  }

\sa{reset-S2}{
  \sa {z}   {(x^2+xy^2)}
  \sa {z_x} {(2x+y^2)}
  \sa {z_y} {(2xy)}
  }

\sa{(E5)}{
  \left(\begin{array}{rcrcl}
       d\ga{z} &=& \ga{z_x}dx + \ga{z_y}dy            &=& 0 \\
    \ddx\ga{z} &=& \ga{z_x}   + \ga{z_y}\frac{dy}{dx} &=& 0 \\
        \ga{z} &=& C \\
   \end{array}
   \right)
  }
\sa{(E3)}{
  \left(\begin{array}{rcrcl}
    \ga{z_x}dx + \ga{z_y}dy            &=& 0 \\
    \ga{z_x}   + \ga{z_y}\frac{dy}{dx} &=& 0 \\
    \ga{z} &=& C \\
   \end{array}
   \right)
  }
\sa{(E2)}{
  \left(\begin{array}{rcrcl}
    \ga{z_x} + \ga{z_y}\frac{dy}{dx} &=& 0 \\
    \ga{z} &=& C \\
   \end{array}
   \right)
  }
\sa{(S)}{
  \left[\begin{array}{rcl}
    z   &:=& \ga{z} \\
    z_x &:=& \ga{z_x} \\
    z_y &:=& \ga{z_y} \\
   \end{array}
   \right]
  }




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