solve differential equation that have a time variant function and terms ode45

as the quistion says

i want to solve a diffrential equation that has the following form using ode45

where

a and b are constant

c(t) is a time deppendant term

f(x(t)) is a time deppendant function of x

g(t) is a time deppendant function

thank you.

[Jan]

Okay.What have you tried so far, which problems occur and what is your question?

Answer 1

[Bjorn Gustavsson]

That should be just what the odeNN-suite of functions are made for. Just write yourself a function where you express the 2nd order ODE as 2 coupled 1st-order:

function dxdt = myode(t,x)
a = % whatever values you have for your coefficients
b = % same difference
c = c_of_t(t);
f = f_of_x(t,x);
g = g_of_t(t);
dxdt = [x(2);
        1/a*(g - b*x(2) - c*f)];
end

Where c_of_t f_of_t and g_of_t are whatever functions you need to call/define. Then simply call ode45 as in the documentation example.

HTH