The initial value problem being solved is
     y' = -y + 2 cos x,   y(0)=1
 The true solution is
     Y = sin x + cos x


 RESULTS USING THE "MIDPOINT" RUNGE-KUTTA METHOD OF ORDER 2

 EQUATION 3     XZERO= 0.00E+00     B= 2.00E+01     YZERO= 1.00000E+00
 STEPSIZE= 2.000E-01     PRINT PARAMETER= 10

 X= 2.000E+00     Y(X)= 4.8688872118E-01     ERROR= 6.26E-03
 X= 4.000E+00     Y(X)=-1.4077907467E+00     ERROR=-2.66E-03
 X= 6.000E+00     Y(X)= 6.8445524579E-01     ERROR=-3.70E-03
 X= 8.000E+00     Y(X)= 8.3807468173E-01     ERROR= 5.78E-03
 X= 1.000E+01     Y(X)=-1.3819861389E+00     ERROR=-1.11E-03
 X= 1.200E+01     Y(X)= 3.1214272564E-01     ERROR=-4.86E-03
 X= 1.400E+01     Y(X)= 1.1221915979E+00     ERROR= 5.15E-03
 X= 1.600E+01     Y(X)=-1.2461357098E+00     ERROR= 5.73E-04
 X= 1.800E+01     Y(X)=-8.5040733172E-02     ERROR=-5.63E-03
 X= 2.000E+01     Y(X)= 1.3169145736E+00     ERROR= 4.11E-03

 EQUATION 3     XZERO= 0.00E+00     B= 2.00E+01     YZERO= 1.00000E+00
 STEPSIZE= 1.000E-01     PRINT PARAMETER= 20

 X= 2.000E+00     Y(X)= 4.9168884124E-01     ERROR= 1.46E-03
 X= 4.000E+00     Y(X)=-1.4097776421E+00     ERROR=-6.68E-04
 X= 6.000E+00     Y(X)= 6.8158572231E-01     ERROR=-8.31E-04
 X= 8.000E+00     Y(X)= 8.4248804595E-01     ERROR= 1.37E-03
 X= 1.000E+01     Y(X)=-1.3827845660E+00     ERROR=-3.08E-04
 X= 1.200E+01     Y(X)= 3.0839461306E-01     ERROR=-1.11E-03
 X= 1.400E+01     Y(X)= 1.1261096554E+00     ERROR= 1.23E-03
 X= 1.600E+01     Y(X)=-1.2456485579E+00     ERROR= 8.58E-05
 X= 1.800E+01     Y(X)=-8.9364242231E-02     ERROR=-1.31E-03


 RESULTS USING THE "TRAPEZOIDAL" RUNGE-KUTTA METHOD OF ORDER 2

 EQUATION 3     XZERO= 0.00E+00     B= 2.00E+01     YZERO= 1.00000E+00
 STEPSIZE= 2.000E-01     PRINT PARAMETER= 10

 X= 2.000E+00     Y(X)= 4.8486041171E-01     ERROR= 8.29E-03
 X= 4.000E+00     Y(X)=-1.3998711854E+00     ERROR=-1.06E-02
 X= 6.000E+00     Y(X)= 6.8074864988E-01     ERROR= 6.14E-06
 X= 8.000E+00     Y(X)= 8.3335782041E-01     ERROR= 1.05E-02
 X= 1.000E+01     Y(X)=-1.3743375483E+00     ERROR=-8.76E-03
 X= 1.200E+01     Y(X)= 3.1049593741E-01     ERROR=-3.21E-03
 X= 1.400E+01     Y(X)= 1.1159139244E+00     ERROR= 1.14E-02
 X= 1.600E+01     Y(X)=-1.2392640116E+00     ERROR=-6.30E-03
 X= 1.800E+01     Y(X)=-8.4482324819E-02     ERROR=-6.19E-03
 X= 2.000E+01     Y(X)= 1.3095781165E+00     ERROR= 1.14E-02

 EQUATION 3     XZERO= 0.00E+00     B= 2.00E+01     YZERO= 1.00000E+00
 STEPSIZE= 1.000E-01     PRINT PARAMETER= 20

 X= 2.000E+00     Y(X)= 4.9121567262E-01     ERROR= 1.93E-03
 X= 4.000E+00     Y(X)=-1.4078986288E+00     ERROR=-2.55E-03
 X= 6.000E+00     Y(X)= 6.8069672329E-01     ERROR= 5.81E-05
 X= 8.000E+00     Y(X)= 8.4137633946E-01     ERROR= 2.48E-03
 X= 1.000E+01     Y(X)=-1.3809665794E+00     ERROR=-2.13E-03
 X= 1.200E+01     Y(X)= 3.0799372622E-01     ERROR=-7.13E-04
 X= 1.400E+01     Y(X)= 1.1246253930E+00     ERROR= 2.72E-03
 X= 1.600E+01     Y(X)=-1.2440123195E+00     ERROR=-1.55E-03
 X= 1.800E+01     Y(X)=-8.9241809407E-02     ERROR=-1.43E-03