Errors in Solving y' = -y + 2 cos(x), y(0) = 1 h=.2 h=.1 h=.05 x Y Y-y Y-y Y-y 0.0000 1.0000 0.0000 0.0000 0.0000 0.2000 1.2000 -0.0213 -0.0103 -0.0050 0.4000 1.3520 -0.0415 -0.0201 -0.0099 0.6000 1.4500 -0.0601 -0.0291 -0.0143 0.8000 1.4902 -0.0761 -0.0369 -0.0182 1.0000 1.4708 -0.0890 -0.0432 -0.0213 1.2000 1.3928 -0.0984 -0.0478 -0.0236 1.4000 1.2592 -0.1037 -0.0505 -0.0249 1.6000 1.0753 -0.1049 -0.0512 -0.0253 1.8000 0.8486 -0.1019 -0.0498 -0.0246 2.0000 0.5880 -0.0948 -0.0464 -0.0230 2.2000 0.3039 -0.0839 -0.0412 -0.0204 2.4000 0.0077 -0.0697 -0.0343 -0.0170 2.6000 -0.2888 -0.0526 -0.0260 -0.0130 2.8000 -0.5738 -0.0335 -0.0167 -0.0084 3.0000 -0.8359 -0.0130 -0.0068 -0.0035 3.2000 -1.0647 0.0081 0.0034 0.0016 3.4000 -1.2511 0.0288 0.0135 0.0066 3.6000 -1.3876 0.0483 0.0231 0.0113 3.8000 -1.4688 0.0660 0.0317 0.0156 4.0000 -1.4914 0.0810 0.0391 0.0192 4.2000 -1.4546 0.0927 0.0449 0.0221 4.4000 -1.3598 0.1008 0.0489 0.0241 4.6000 -1.2108 0.1049 0.0510 0.0252 4.8000 -1.0135 0.1048 0.0511 0.0252 5.0000 -0.7758 0.1005 0.0491 0.0242