Abstract

We are proposing a modified form of the Milne's Predictor-Corrector formula for solving ordinary differential equation of first order and first degree. Here we are approximating the value of the dependent variable under five initial conditions (where Milne takes four initial conditions) and then improving this value (closer to the exact value) by proper substitution in the formulae. This process is an iterative way to obtain the values and the process continuing until we get a proper level of accuracy.

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