How can i implement Central difference method to solve ODE

I am trying to implement the central difference method in matlab using code to solve a spring-damper mass system with the equation:

the values for the coefficients are given.

[Jan]

Central differences are useful to determine a dreivative, if you have numerical data of a curve. I do not know an application, where central differences are useful to solve an ODE. Use an ODE solver instead, e.g. ode45.

Answer 1

[Sulaymon Eshkabilov]

Here is a good discussion and code how to implement the central difference method in solving ODEs:

https://www.mathworks.com/matlabcentral/answers/213823-forward-backward-and-central-differences

https://www.mathworks.com/matlabcentral/fileexchange/12-central_diff-m