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Solving ordinary differential equations (ODEs) using Taylor series, Picard’s, or Runge-Kutta methods. Siirt Üniversitesi Accessing the PDF free pdf on numerical analysis by dutta jana top

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This approximates the area under the curve by dividing the total area into small trapezoids. $$I = \frach2 [y_0 + y_n + 2(y_1 + y_2 + ... + y_n-1)]$$