Absolute diff. between the two Appr. solutions Appr. solution for the perturbed problem Absolute Error Appr. solution for the problem x a 1.50275 × 10−8 2.33452 × 10−8 3.03307 × 10−8 3.66017 × 10−8 4.24062 × 10−8 0.000925771 0.00286047 0.00555184 0.00890311 0.0128568 8.2 × 10−4 2.5 × 10−3 4.7 × 10−3 7.3 × 10−3 1.0 × 10−2 y = 0.000925756 y = 0.00286044 y = 0.00555181 y = 0.00890308 y = 0.0128567 0.01 0.02 0.03 0.04 0.05 0.1 9.30474 × 10−9 1.54803 × 10−8 2.09326 × 10−8 2.59856 × 10−8 3.07735 × 10−8 0.000540099 0.00178793 0.00361276 0.0059613 0.00880111 4.4 × 10−4 1.4 × 10−3 2.7 × 10−3 4.4 × 10−3 6.1 × 10−3 y = 0.00054009 y = 0.00178791 y = 0.00361274 y = 0.00596128 y = 0.00880108 0.01 0.02 0.03 0.04 0.05 0.2 5.71685 × 10−9 1.01865 × 10−8 1.43368 × 10−8 1.83092 × 10−8 2.21638 × 10−8 0.000313707 0.00111263 0.00234066 0.00397413 0.0059986 2.1 × 10−4 7.1 × 10−4 1.4 × 10−3 2.4 × 10−3 3.5 × 10−3 y = 0.000313701 y = 0.00111262 y = 0.00234065 y = 0.00397411 y = 0.00599858 0.01 0.02 0.03 0.04 0.05 0.3 3.4872 × 10−9 6.65526 × 10−9 9.74972 × 10−9 1.28095 × 10−8 1.58509 × 10−8 0.000181441 0.000689483 0.00151013 0.0026383 0.00407143 8.1 × 10−5 2.9 × 10−4 6.1 × 10−4 1.0 × 10−3 1.0 × 10−3 y = 0.000181438 y = 0.000689476 y = 0.00151012 y = 0.00263828 y = 0.00407141 0.01 0.02 0.03 0.04 0.05 0.4 2.11285 × 10−9 4.31917 × 10−9 6.58633 × 10−9 8.90272 × 10−9 1.12616 × 10−8 0.000104516 0.000425537 0.000970365 0.00174444 0.00275232 4.5 × 10−6 2.6 × 10−5 7.0 × 10−5 1.4 × 10−4 2.5 × 10−4 y = 0.000104514 y = 0.000425532 y = 0.000970359 y = 0.00174443 y = 0.00275231 0.01 0.02 0.03 0.04 0.05 0.5