In this video, we'll learn about very popular and practical Runge-Kutta methods. These methods eliminate the need for repeated differentiation of the differential equations (as we saw in higher-order Taylor series methods). We explain the first-order, second-order and 4th-order Runge-Kutta methods. The corresponding Python code for the 4th-order Runge-Kutta method is also provided and which is used to solve an example first-order ODE (initial-value problem).

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