matlabode

how to solve a second order nonlinear differential equation in MATLAB?

I have a equation in the form : (M*X") +( K1*X)+(K2*X^2)=0
Now I want to solve this equation with Matlab. I would appreciate if someone could share a link which contains the analytical solution for such a equation. Thank you :)

Solution

  • If you want a symbolic solution, you can use the following code:

    syms k1 k2 x m;
f = (m * diff(x,2)) + (k1 * x) + (k2 * x^2) == 0;

a = solve(f)