This method of numerical integration finds solutions in the form of resultant solutions.
The equation given in the task was solved by Mathcad program using program module which allows to solve differential equations with fixed step: F := rkfixed(Z0, t0, tk, N, f). The result of the solution of this equation in mathcad is the following:
In order to evaluate these results we can solve the same equation using conventional means. As it's shown this equation is solved by the method of variables separation. After finding the function we should plug the values of t into this function and find it's values for all values of t on the interval [0,1].