![]() With this algorithm we can solve differential equations such as y‘ = -2 xy, y(0) = 2: The most common method is the fourth-order Runge–Kutta method, often simply referred to as the Runge–Kutta method. Starting from an initial condition, they calculate the solution forward step by step. The Runge–Kutta methods are iterative ways to calculate the solution of a differential equation. This family of algorithms can be used to approximate the solutions of ordinary differential equations. ![]() There are a number of different numerical methods available for calculating solutions, the most common of which are the Runge–Kutta methods. As part of our ongoing plan to expand Wolfram|Alpha’s numerical method functionality to more kinds of algorithms, we recently addressed solving differential equations.
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