can anyone help me implement this?

Numerical integration through Taylor series. Runge-Kutta method. Implementation.

Write a program that solves Cauchy's problem y '= f (x, y), y (x0) = y0.

The program can be used for an arbitrary function f, a step h, and the interval [x0, b].

Using this program to solve Cauchy's problem

Step h = 1 / 4. To approximate the values ​​of the solution y in the points xi = h * I, with i = 16.

[Rik]

This sounds like homework. What did you try yourself?

[MATEI ALEXANDRU-GHEORGHE]

i dont know how to do it plz can u help? :))

Answer 1

[David H]

Check out the documentation of "ode45", this should give you some idea of where to start. This uses the Range Kutta shooting method and has some examples of solving differential equations.