Use the Runge-Kutta method to approximate the solution of the initial value problem in the...

Use the Runge-Kutta method to approximate the solution of the initial value problem in the given interval.

Continue the computation of Example to obtain approximate values of y for x = 0.3, 0.4, and 0.5.

Example

Solve the example of Section 3.2 by the Runge-Kutta method.

We present in Table the results of the computation for x = 0.1 and x = 0.2 and leave the remaining computations for the exercises.

Table