COPTION DOUBLE,DUMP=1
      DIFF ( Y2 , X , 3 ) = - COS ( X ) 
      DIFF ( Y1 , X , 1 ) = - Y2 
   $
   $
      MPRINT = 2
      NSTEPS = 1000
      START = 0.1d0
      END = 5.0d0
      DLTXPT = 0.1d0
      Y1(1) = ( DCOS(START));
      Y2(1) = (DSIN(START));
      Y2(2) = ( DCOS(START));
      Y2(3) = (  -DSIN(START));
      WRITE(LIST,120) START,END,DLTXPT,Y1(1),Y2(1),Y2(2),Y2(3)
  120 FORMAT(8F16.10)
   $
   $
C DIGITS := 32;
C MAX_TERMS := 40;
C !
C X_START := 0.1;
C X_END := 5.0;
C DIFF(Y1,0,EXACT_SOLN_Y1(X_START));
C DIFF(Y2,0,EXACT_SOLN_Y2(X_START));
C DIFF(Y2,1,EXACT_SOLN_Y2P(X_START));
C DIFF(Y2,2,EXACT_SOLN_Y2PP(X_START));
C GLOB_LOOK_POLES := TRUE;
C #
C # NOT GIVEN = 0
C # REAL = 1
C # COMPLEX = 2 
C # NO POLE = 3
C # IMPOSSIBLE EQ = 4
C #
C GLOB_TYPE_GIVEN_POLE := 3;
C !
C EXACT_SOLN_Y2 := PROC(X)
C RETURN(SIN(X));
C END;
C EXACT_SOLN_Y2P := PROC(X)
C RETURN( COS(X));
C END;
C EXACT_SOLN_Y2PP := PROC(X)
C RETURN(  -SIN(X));
C END;
C EXACT_SOLN_Y1 := PROC(X)
C RETURN( COS(X));
C END;
C