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Slope-field-by-MathScoop (1)

Using an algorithm, Euler's method lets you take a first order differential equation

$ {{dy \over dx} = f(x,y), y_0 = x_0} $

and approximate points on a solution curve

Algorithm

  • Select a step size, (The smaller the step size, the more accurate the solution).
  • Apply the iterative formula to find $ {(x_n, y_n)} $ where, $ {x_{n+1} = x_n + h, y_{n+1} = y_n +f(x_n, y_n)h} $
  • Plot each point