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Numerical Solution of Ordinary Differential Equations ...
sam.nitk.ac.inNumerical Solution of Ordinary Di erential Equations of First Order Let us consider the rst order di erential equation dy dx = f(x;y) given y(x 0) = y 0 (1) to study the various numerical methods of solving such equations. In most of these methods, we replace the di erential equation by a di erence equation and then solve it.