2nd order Differential Equation

Hello

i am stuck on this differential equation. Any help if you could

dx2/dt2 = 0.2(1.48 I^2 -1)

I am looking for a code in order to solve this equation, and then generate plot between I and t.

Thank you

[Sam Chak]

I see x, t, and I.

Please give I in terms of x or t, or both, like I = f(x, t).

Answer 1

[Sam Chak]

Hi @Mustafa Almoghrabi

With the limited info, this is a brief example you can explore ode45 (please Google this) and modify the differential equation to suit your needs.

F = @(t, x) [x(2); ...
             0.2*(1.48*x(3)^2 - 1); ...
             - (125/(74*x(3)))*(0.2*(1.48*x(3)^2 - 1) + x(2))];
tspan  = [0 20];        %
init   = [1, 0, 0.1];
[t, x] = ode45(F, tspan, init);
plot(t, x(:, 3), 'linewidth', 1.5)